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Finding the Third Proportional to 267,496.50 and 415,530.75

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Solution

The third proportional to 267,496.50 and 415,530.75 is: 645,488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,496.50 : 415,530.75 = 415,530.75 : x
  2. Step 2: Convert to fraction form
    267,496.50/415,530.75 = 415,530.75/x
  3. Step 3: Cross multiply
    267,496.50x = 415,530.75 × 415,530.75
  4. Step 4: Simplify right side
    267,496.50x = 172,665,804,195.56
  5. Step 5: Solve for x
    x = 172,665,804,195.56/267,496.50
  6. Step 6: Final answer
    x = 645,488.09

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