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Finding the Third Proportional to 367,089 and 516,951

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Solution

The third proportional to 367,089 and 516,951 is: 727,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,089 : 516,951 = 516,951 : x
  2. Step 2: Convert to fraction form
    367,089/516,951 = 516,951/x
  3. Step 3: Cross multiply
    367,089x = 516,951 × 516,951
  4. Step 4: Simplify right side
    367,089x = 267,238,336,401
  5. Step 5: Solve for x
    x = 267,238,336,401/367,089
  6. Step 6: Final answer
    x = 727,993.31

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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.