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Finding the Third Proportional to 754.95 and 1,663.14

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Solution

The third proportional to 754.95 and 1,663.14 is: 3,663.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.95 : 1,663.14 = 1,663.14 : x
  2. Step 2: Convert to fraction form
    754.95/1,663.14 = 1,663.14/x
  3. Step 3: Cross multiply
    754.95x = 1,663.14 × 1,663.14
  4. Step 4: Simplify right side
    754.95x = 2,766,023.75
  5. Step 5: Solve for x
    x = 2,766,023.75/754.95
  6. Step 6: Final answer
    x = 3,663.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.