Finding the Third Proportional to 413,110.13 and 617,257.13
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Solution
The third proportional to 413,110.13 and 617,257.13 is: 922,287.63
Step by Step Solution
- Step 1: Write the proportion equation
413,110.13 : 617,257.13 = 617,257.13 : x - Step 2: Convert to fraction form
413,110.13/617,257.13 = 617,257.13/x - Step 3: Cross multiply
413,110.13x = 617,257.13 × 617,257.13 - Step 4: Simplify right side
413,110.13x = 381,006,358,363.27 - Step 5: Solve for x
x = 381,006,358,363.27/413,110.13 - Step 6: Final answer
x = 922,287.63
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.