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Finding the Third Proportional to 461.88 and 980.75

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Solution

The third proportional to 461.88 and 980.75 is: 2,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.88 : 980.75 = 980.75 : x
  2. Step 2: Convert to fraction form
    461.88/980.75 = 980.75/x
  3. Step 3: Cross multiply
    461.88x = 980.75 × 980.75
  4. Step 4: Simplify right side
    461.88x = 961,870.56
  5. Step 5: Solve for x
    x = 961,870.56/461.88
  6. Step 6: Final answer
    x = 2,082.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.