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Finding the Third Proportional to 721 and 1,118.75

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Solution

The third proportional to 721 and 1,118.75 is: 1,735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    721 : 1,118.75 = 1,118.75 : x
  2. Step 2: Convert to fraction form
    721/1,118.75 = 1,118.75/x
  3. Step 3: Cross multiply
    721x = 1,118.75 × 1,118.75
  4. Step 4: Simplify right side
    721x = 1,251,601.56
  5. Step 5: Solve for x
    x = 1,251,601.56/721
  6. Step 6: Final answer
    x = 1,735.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.