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Finding the Third Proportional to 980.88 and 1,471.25

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Solution

The third proportional to 980.88 and 1,471.25 is: 2,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.88 : 1,471.25 = 1,471.25 : x
  2. Step 2: Convert to fraction form
    980.88/1,471.25 = 1,471.25/x
  3. Step 3: Cross multiply
    980.88x = 1,471.25 × 1,471.25
  4. Step 4: Simplify right side
    980.88x = 2,164,576.56
  5. Step 5: Solve for x
    x = 2,164,576.56/980.88
  6. Step 6: Final answer
    x = 2,206.78

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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.