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Finding the Third Proportional to 502,032.13 and 754,143.75

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Solution

The third proportional to 502,032.13 and 754,143.75 is: 1,132,861.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,032.13 : 754,143.75 = 754,143.75 : x
  2. Step 2: Convert to fraction form
    502,032.13/754,143.75 = 754,143.75/x
  3. Step 3: Cross multiply
    502,032.13x = 754,143.75 × 754,143.75
  4. Step 4: Simplify right side
    502,032.13x = 568,732,795,664.06
  5. Step 5: Solve for x
    x = 568,732,795,664.06/502,032.13
  6. Step 6: Final answer
    x = 1,132,861.36

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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.