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Finding the Third Proportional to 267,934 and 577,932

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Solution

The third proportional to 267,934 and 577,932 is: 1,246,595.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,934 : 577,932 = 577,932 : x
  2. Step 2: Convert to fraction form
    267,934/577,932 = 577,932/x
  3. Step 3: Cross multiply
    267,934x = 577,932 × 577,932
  4. Step 4: Simplify right side
    267,934x = 334,005,396,624
  5. Step 5: Solve for x
    x = 334,005,396,624/267,934
  6. Step 6: Final answer
    x = 1,246,595.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.