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Finding the Third Proportional to 367,079 and 516,940

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Solution

The third proportional to 367,079 and 516,940 is: 727,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,079 : 516,940 = 516,940 : x
  2. Step 2: Convert to fraction form
    367,079/516,940 = 516,940/x
  3. Step 3: Cross multiply
    367,079x = 516,940 × 516,940
  4. Step 4: Simplify right side
    367,079x = 267,226,963,600
  5. Step 5: Solve for x
    x = 267,226,963,600/367,079
  6. Step 6: Final answer
    x = 727,982.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.