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Finding the Third Proportional to 267,480.56 and 415,503.94

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Solution

The third proportional to 267,480.56 and 415,503.94 is: 645,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,480.56 : 415,503.94 = 415,503.94 : x
  2. Step 2: Convert to fraction form
    267,480.56/415,503.94 = 415,503.94/x
  3. Step 3: Cross multiply
    267,480.56x = 415,503.94 × 415,503.94
  4. Step 4: Simplify right side
    267,480.56x = 172,643,522,078.00
  5. Step 5: Solve for x
    x = 172,643,522,078.00/267,480.56
  6. Step 6: Final answer
    x = 645,443.24

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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.