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Finding the Third Proportional to 398.57 and 610.56

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Solution

The third proportional to 398.57 and 610.56 is: 935.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.57 : 610.56 = 610.56 : x
  2. Step 2: Convert to fraction form
    398.57/610.56 = 610.56/x
  3. Step 3: Cross multiply
    398.57x = 610.56 × 610.56
  4. Step 4: Simplify right side
    398.57x = 372,781.80
  5. Step 5: Solve for x
    x = 372,781.80/398.57
  6. Step 6: Final answer
    x = 935.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.