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Finding the Third Proportional to 367,065 and 516,917

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Solution

The third proportional to 367,065 and 516,917 is: 727,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,065 : 516,917 = 516,917 : x
  2. Step 2: Convert to fraction form
    367,065/516,917 = 516,917/x
  3. Step 3: Cross multiply
    367,065x = 516,917 × 516,917
  4. Step 4: Simplify right side
    367,065x = 267,203,184,889
  5. Step 5: Solve for x
    x = 267,203,184,889/367,065
  6. Step 6: Final answer
    x = 727,945.15

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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.