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Finding the Third Proportional to 267 and 630.38

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Solution

The third proportional to 267 and 630.38 is: 1,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    267 : 630.38 = 630.38 : x
  2. Step 2: Convert to fraction form
    267/630.38 = 630.38/x
  3. Step 3: Cross multiply
    267x = 630.38 × 630.38
  4. Step 4: Simplify right side
    267x = 397,372.64
  5. Step 5: Solve for x
    x = 397,372.64/267
  6. Step 6: Final answer
    x = 1,488.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.