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Finding the Third Proportional to 574.03 and 883.97

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Solution

The third proportional to 574.03 and 883.97 is: 1,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.03 : 883.97 = 883.97 : x
  2. Step 2: Convert to fraction form
    574.03/883.97 = 883.97/x
  3. Step 3: Cross multiply
    574.03x = 883.97 × 883.97
  4. Step 4: Simplify right side
    574.03x = 781,400.75
  5. Step 5: Solve for x
    x = 781,400.75/574.03
  6. Step 6: Final answer
    x = 1,361.25

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.