Can Quicktime remember last window size?

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Maybe someone can help me, I've looked everywhere and have found no answer.

I'm trying to get Quicktime 7.0.3 for Windows to remember the size of the last MPEG window. For example, if the last MPEG was played in a "double size" window, the next time I click on a new MPEG I want it to remain in a "double size" window instead of defaulting back to normal size.

Is there a way to make change the default to "double size" so that it stays double sized every single time I open a new MPEG clip?

Thanks....