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Finding the Third Proportional to 691,459.50 and 932,131.50

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Solution

The third proportional to 691,459.50 and 932,131.50 is: 1,256,572.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,459.50 : 932,131.50 = 932,131.50 : x
  2. Step 2: Convert to fraction form
    691,459.50/932,131.50 = 932,131.50/x
  3. Step 3: Cross multiply
    691,459.50x = 932,131.50 × 932,131.50
  4. Step 4: Simplify right side
    691,459.50x = 868,869,133,292.25
  5. Step 5: Solve for x
    x = 868,869,133,292.25/691,459.50
  6. Step 6: Final answer
    x = 1,256,572.70

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.