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Finding the Third Proportional to 502,129.13 and 754,287.19

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Solution

The third proportional to 502,129.13 and 754,287.19 is: 1,133,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,129.13 : 754,287.19 = 754,287.19 : x
  2. Step 2: Convert to fraction form
    502,129.13/754,287.19 = 754,287.19/x
  3. Step 3: Cross multiply
    502,129.13x = 754,287.19 × 754,287.19
  4. Step 4: Simplify right side
    502,129.13x = 568,949,161,226.66
  5. Step 5: Solve for x
    x = 568,949,161,226.66/502,129.13
  6. Step 6: Final answer
    x = 1,133,073.41

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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.