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Finding the Third Proportional to 398.13 and 605.72

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Solution

The third proportional to 398.13 and 605.72 is: 921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.13 : 605.72 = 605.72 : x
  2. Step 2: Convert to fraction form
    398.13/605.72 = 605.72/x
  3. Step 3: Cross multiply
    398.13x = 605.72 × 605.72
  4. Step 4: Simplify right side
    398.13x = 366,895.20
  5. Step 5: Solve for x
    x = 366,895.20/398.13
  6. Step 6: Final answer
    x = 921.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.