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Finding the Third Proportional to 394,294.08 and 861,560.30

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Solution

The third proportional to 394,294.08 and 861,560.30 is: 1,882,569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,294.08 : 861,560.30 = 861,560.30 : x
  2. Step 2: Convert to fraction form
    394,294.08/861,560.30 = 861,560.30/x
  3. Step 3: Cross multiply
    394,294.08x = 861,560.30 × 861,560.30
  4. Step 4: Simplify right side
    394,294.08x = 742,286,145,151.34
  5. Step 5: Solve for x
    x = 742,286,145,151.34/394,294.08
  6. Step 6: Final answer
    x = 1,882,569.85

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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.