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Finding the Third Proportional to 367,063 and 516,911

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Solution

The third proportional to 367,063 and 516,911 is: 727,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,063 : 516,911 = 516,911 : x
  2. Step 2: Convert to fraction form
    367,063/516,911 = 516,911/x
  3. Step 3: Cross multiply
    367,063x = 516,911 × 516,911
  4. Step 4: Simplify right side
    367,063x = 267,196,981,921
  5. Step 5: Solve for x
    x = 267,196,981,921/367,063
  6. Step 6: Final answer
    x = 727,932.21

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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.