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Finding the Third Proportional to 753.68 and 1,132.42

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Solution

The third proportional to 753.68 and 1,132.42 is: 1,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.68 : 1,132.42 = 1,132.42 : x
  2. Step 2: Convert to fraction form
    753.68/1,132.42 = 1,132.42/x
  3. Step 3: Cross multiply
    753.68x = 1,132.42 × 1,132.42
  4. Step 4: Simplify right side
    753.68x = 1,282,370.46
  5. Step 5: Solve for x
    x = 1,282,370.46/753.68
  6. Step 6: Final answer
    x = 1,701.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.