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Finding the Third Proportional to 367,093 and 516,957

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Solution

The third proportional to 367,093 and 516,957 is: 728,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,093 : 516,957 = 516,957 : x
  2. Step 2: Convert to fraction form
    367,093/516,957 = 516,957/x
  3. Step 3: Cross multiply
    367,093x = 516,957 × 516,957
  4. Step 4: Simplify right side
    367,093x = 267,244,539,849
  5. Step 5: Solve for x
    x = 267,244,539,849/367,093
  6. Step 6: Final answer
    x = 728,002.28

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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.