A drawing of the parabola $$\(y=x^{2}\)$$ is photographed using a microscope that magnifies by a factor of 200 in each direction. The photographed parabola is traced on (unmagnified) graph paper so the parabola' s vertex, orientation, and axis of symmetry are unchanged. When compared to the drawing of $$\(y=x^{2}\)$$ (also drawn on unmagnified graph paper), for what real number $$\(a\)$$ does the photograph of the parabola look like the graph of $$\(y=a x^{2}\)$$ ?

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