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Finding the Third Proportional to 648.75 and 754.88

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Solution

The third proportional to 648.75 and 754.88 is: 878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.75 : 754.88 = 754.88 : x
  2. Step 2: Convert to fraction form
    648.75/754.88 = 754.88/x
  3. Step 3: Cross multiply
    648.75x = 754.88 × 754.88
  4. Step 4: Simplify right side
    648.75x = 569,836.27
  5. Step 5: Solve for x
    x = 569,836.27/648.75
  6. Step 6: Final answer
    x = 878.36

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.