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Finding the Third Proportional to 382,016.25 and 516,972.38

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Solution

The third proportional to 382,016.25 and 516,972.38 is: 699,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,016.25 : 516,972.38 = 516,972.38 : x
  2. Step 2: Convert to fraction form
    382,016.25/516,972.38 = 516,972.38/x
  3. Step 3: Cross multiply
    382,016.25x = 516,972.38 × 516,972.38
  4. Step 4: Simplify right side
    382,016.25x = 267,260,436,513.14
  5. Step 5: Solve for x
    x = 267,260,436,513.14/382,016.25
  6. Step 6: Final answer
    x = 699,604.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.