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Points A, B, C, D, E, and F lie, in that order, on $\overline {AF}$, dividing it into five segments, each of length 1. Point G is not on the line through A and F. Point H lies on $\overline {GD}$, and point J lies on $\overline {GF}$. The line segments $\overline {HC}$, $\overline {JE}$, and $\overline {AG}$ are parallel. Find $\displaystyle\frac{HC}{JE}$.