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Finding the Third Proportional to 367,064 and 516,919

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Solution

The third proportional to 367,064 and 516,919 is: 727,952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,064 : 516,919 = 516,919 : x
  2. Step 2: Convert to fraction form
    367,064/516,919 = 516,919/x
  3. Step 3: Cross multiply
    367,064x = 516,919 × 516,919
  4. Step 4: Simplify right side
    367,064x = 267,205,252,561
  5. Step 5: Solve for x
    x = 267,205,252,561/367,064
  6. Step 6: Final answer
    x = 727,952.76

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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.