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Finding the Third Proportional to 367,029 and 516,853

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Solution

The third proportional to 367,029 and 516,853 is: 727,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,029 : 516,853 = 516,853 : x
  2. Step 2: Convert to fraction form
    367,029/516,853 = 516,853/x
  3. Step 3: Cross multiply
    367,029x = 516,853 × 516,853
  4. Step 4: Simplify right side
    367,029x = 267,137,023,609
  5. Step 5: Solve for x
    x = 267,137,023,609/367,029
  6. Step 6: Final answer
    x = 727,836.28

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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.