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Finding the Third Proportional to 267.47 and 397.41

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Solution

The third proportional to 267.47 and 397.41 is: 590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.47 : 397.41 = 397.41 : x
  2. Step 2: Convert to fraction form
    267.47/397.41 = 397.41/x
  3. Step 3: Cross multiply
    267.47x = 397.41 × 397.41
  4. Step 4: Simplify right side
    267.47x = 157,931.73
  5. Step 5: Solve for x
    x = 157,931.73/267.47
  6. Step 6: Final answer
    x = 590.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.