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Finding the Third Proportional to 267,064 and 415,914

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Solution

The third proportional to 267,064 and 415,914 is: 647,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,064 : 415,914 = 415,914 : x
  2. Step 2: Convert to fraction form
    267,064/415,914 = 415,914/x
  3. Step 3: Cross multiply
    267,064x = 415,914 × 415,914
  4. Step 4: Simplify right side
    267,064x = 172,984,455,396
  5. Step 5: Solve for x
    x = 172,984,455,396/267,064
  6. Step 6: Final answer
    x = 647,726.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.