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Finding the Third Proportional to 267,740 and 414,567

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Solution

The third proportional to 267,740 and 414,567 is: 641,913.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,740 : 414,567 = 414,567 : x
  2. Step 2: Convert to fraction form
    267,740/414,567 = 414,567/x
  3. Step 3: Cross multiply
    267,740x = 414,567 × 414,567
  4. Step 4: Simplify right side
    267,740x = 171,865,797,489
  5. Step 5: Solve for x
    x = 171,865,797,489/267,740
  6. Step 6: Final answer
    x = 641,913.04

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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.