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Finding the Third Proportional to 394,125.75 and 861,865.13

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Solution

The third proportional to 394,125.75 and 861,865.13 is: 1,884,706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,125.75 : 861,865.13 = 861,865.13 : x
  2. Step 2: Convert to fraction form
    394,125.75/861,865.13 = 861,865.13/x
  3. Step 3: Cross multiply
    394,125.75x = 861,865.13 × 861,865.13
  4. Step 4: Simplify right side
    394,125.75x = 742,811,493,691.27
  5. Step 5: Solve for x
    x = 742,811,493,691.27/394,125.75
  6. Step 6: Final answer
    x = 1,884,706.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.