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Finding the Third Proportional to 367,049 and 516,895

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Solution

The third proportional to 367,049 and 516,895 is: 727,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,049 : 516,895 = 516,895 : x
  2. Step 2: Convert to fraction form
    367,049/516,895 = 516,895/x
  3. Step 3: Cross multiply
    367,049x = 516,895 × 516,895
  4. Step 4: Simplify right side
    367,049x = 267,180,441,025
  5. Step 5: Solve for x
    x = 267,180,441,025/367,049
  6. Step 6: Final answer
    x = 727,914.91

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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.