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Finding the Third Proportional to 494.06 and 1,062.75

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Solution

The third proportional to 494.06 and 1,062.75 is: 2,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.06 : 1,062.75 = 1,062.75 : x
  2. Step 2: Convert to fraction form
    494.06/1,062.75 = 1,062.75/x
  3. Step 3: Cross multiply
    494.06x = 1,062.75 × 1,062.75
  4. Step 4: Simplify right side
    494.06x = 1,129,437.56
  5. Step 5: Solve for x
    x = 1,129,437.56/494.06
  6. Step 6: Final answer
    x = 2,286.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.