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Finding the Third Proportional to 490.75 and 1,032.12

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Solution

The third proportional to 490.75 and 1,032.12 is: 2,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.75 : 1,032.12 = 1,032.12 : x
  2. Step 2: Convert to fraction form
    490.75/1,032.12 = 1,032.12/x
  3. Step 3: Cross multiply
    490.75x = 1,032.12 × 1,032.12
  4. Step 4: Simplify right side
    490.75x = 1,065,265.89
  5. Step 5: Solve for x
    x = 1,065,265.89/490.75
  6. Step 6: Final answer
    x = 2,170.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.