Finding the Third Proportional to 217,856 and 457,696
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Solution
The third proportional to 217,856 and 457,696 is: 961,578.42
Step by Step Solution
- Step 1: Write the proportion equation
217,856 : 457,696 = 457,696 : x - Step 2: Convert to fraction form
217,856/457,696 = 457,696/x - Step 3: Cross multiply
217,856x = 457,696 × 457,696 - Step 4: Simplify right side
217,856x = 209,485,628,416 - Step 5: Solve for x
x = 209,485,628,416/217,856 - Step 6: Final answer
x = 961,578.42
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.