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Finding the Third Proportional to 637.56 and 1,398.52

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Solution

The third proportional to 637.56 and 1,398.52 is: 3,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.56 : 1,398.52 = 1,398.52 : x
  2. Step 2: Convert to fraction form
    637.56/1,398.52 = 1,398.52/x
  3. Step 3: Cross multiply
    637.56x = 1,398.52 × 1,398.52
  4. Step 4: Simplify right side
    637.56x = 1,955,845.95
  5. Step 5: Solve for x
    x = 1,955,845.95/637.56
  6. Step 6: Final answer
    x = 3,067.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.