User blog:Questioning Appreciator/Amestris Map doesn't work?

So I was looking at the Amestris map and thought something doesn't work out...

The measurments (bottom left) say: 1cm on the map = 20km in reality

One quadrant measures about 6 cm: 6 x 20km = 120km

The quadrants are (mostly) quadratic, so: 120km x 120km = 14'400 km^2

Then I tried to look at how many quadrants Amestris' area covers. I made it a bit easier for myself and took 12 quadrants, as it approximately fills that many (looking at the map), so: 12 x 14'400km^2 = 172'800km^2

However the further information on the map (bottom right) states that the total area is supposed to be 723'456km^2 and the population lies with 50'000'000 people, so something doesn't really work out... (either the country is way to small for it's population or the measurements are wrong)

I always thought the country must be quite small, considering how fast they always got around when they mostly travelled by foot or by steam engine (well I don't exactly know how much time took place between the acts but I thought there was fairly little time inbetween), so I thought the small measurement would work out quite good (I'm from Switzerland, we have 41'285km^2 and we can get around the country quite quickly, so quadruple that and you'd be around that 172'800km^2).

However I believe the information that includes population as well must probably be right because it's much more meaningful information. So I tried calculating how long the measurements should actually be:

723'456km^2 / 12 (quadrants) = 60'288km^2

square root of 60'288km^2 = ~245.5km per side -> ~41km per cm

or

723'456km^2 / π = ~230'283 km^2

square root of 230'283km^2 = ~480km (radius)

480km / 2 (quadrants) = 240km per side -> 40km per cm

Hahah sorry for the rambling, in the end it doesn't really matter, and anime logics don't have to equal the logics of reality. I just wanted to share my discovery with you guys. Also sorry if I made any mistakes or used the wrong words for the maths.

Happy Alchemy to everybode!