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Finding the Third Proportional to 267,909.75 and 414,462.38

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Solution

The third proportional to 267,909.75 and 414,462.38 is: 641,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,909.75 : 414,462.38 = 414,462.38 : x
  2. Step 2: Convert to fraction form
    267,909.75/414,462.38 = 414,462.38/x
  3. Step 3: Cross multiply
    267,909.75x = 414,462.38 × 414,462.38
  4. Step 4: Simplify right side
    267,909.75x = 171,779,060,290.64
  5. Step 5: Solve for x
    x = 171,779,060,290.64/267,909.75
  6. Step 6: Final answer
    x = 641,182.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.