Enforcing square proportions in XAML

In my current Windows 8 project, I needed an object on the screen to resize with screen size – and keep it’s proportions. Turned out to be a bit trickier than I thought…

What I wanted was this:

I had to have it as Stretch alignment to scale with the screen size, so fixed Width/Height was out of the question. The starting point was to have VerticalAlignment=Stretch to always use a third of the screen height, but what about the Width?

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