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Finding the Third Proportional to 267,654 and 414,681

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Solution

The third proportional to 267,654 and 414,681 is: 642,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,654 : 414,681 = 414,681 : x
  2. Step 2: Convert to fraction form
    267,654/414,681 = 414,681/x
  3. Step 3: Cross multiply
    267,654x = 414,681 × 414,681
  4. Step 4: Simplify right side
    267,654x = 171,960,331,761
  5. Step 5: Solve for x
    x = 171,960,331,761/267,654
  6. Step 6: Final answer
    x = 642,472.49

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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.