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Finding the Third Proportional to 367,026 and 516,839

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Solution

The third proportional to 367,026 and 516,839 is: 727,802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,026 : 516,839 = 516,839 : x
  2. Step 2: Convert to fraction form
    367,026/516,839 = 516,839/x
  3. Step 3: Cross multiply
    367,026x = 516,839 × 516,839
  4. Step 4: Simplify right side
    367,026x = 267,122,551,921
  5. Step 5: Solve for x
    x = 267,122,551,921/367,026
  6. Step 6: Final answer
    x = 727,802.80

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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.