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Finding the Third Proportional to 447.75 and 980.44

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Solution

The third proportional to 447.75 and 980.44 is: 2,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.75 : 980.44 = 980.44 : x
  2. Step 2: Convert to fraction form
    447.75/980.44 = 980.44/x
  3. Step 3: Cross multiply
    447.75x = 980.44 × 980.44
  4. Step 4: Simplify right side
    447.75x = 961,257.69
  5. Step 5: Solve for x
    x = 961,257.69/447.75
  6. Step 6: Final answer
    x = 2,146.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.