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Finding the Third Proportional to 397.41 and 637.88

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Solution

The third proportional to 397.41 and 637.88 is: 1,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.41 : 637.88 = 637.88 : x
  2. Step 2: Convert to fraction form
    397.41/637.88 = 637.88/x
  3. Step 3: Cross multiply
    397.41x = 637.88 × 637.88
  4. Step 4: Simplify right side
    397.41x = 406,884.52
  5. Step 5: Solve for x
    x = 406,884.52/397.41
  6. Step 6: Final answer
    x = 1,023.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.