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Finding the Third Proportional to 487,350.75 and 731,026.13

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Solution

The third proportional to 487,350.75 and 731,026.13 is: 1,096,539.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,350.75 : 731,026.13 = 731,026.13 : x
  2. Step 2: Convert to fraction form
    487,350.75/731,026.13 = 731,026.13/x
  3. Step 3: Cross multiply
    487,350.75x = 731,026.13 × 731,026.13
  4. Step 4: Simplify right side
    487,350.75x = 534,399,195,432.52
  5. Step 5: Solve for x
    x = 534,399,195,432.52/487,350.75
  6. Step 6: Final answer
    x = 1,096,539.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.