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Finding the Third Proportional to 367,099 and 516,965

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Solution

The third proportional to 367,099 and 516,965 is: 728,012.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,099 : 516,965 = 516,965 : x
  2. Step 2: Convert to fraction form
    367,099/516,965 = 516,965/x
  3. Step 3: Cross multiply
    367,099x = 516,965 × 516,965
  4. Step 4: Simplify right side
    367,099x = 267,252,811,225
  5. Step 5: Solve for x
    x = 267,252,811,225/367,099
  6. Step 6: Final answer
    x = 728,012.91

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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.