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Finding the Third Proportional to 671.56 and 945.75

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Solution

The third proportional to 671.56 and 945.75 is: 1,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.56 : 945.75 = 945.75 : x
  2. Step 2: Convert to fraction form
    671.56/945.75 = 945.75/x
  3. Step 3: Cross multiply
    671.56x = 945.75 × 945.75
  4. Step 4: Simplify right side
    671.56x = 894,443.06
  5. Step 5: Solve for x
    x = 894,443.06/671.56
  6. Step 6: Final answer
    x = 1,331.88

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.