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Finding the Third Proportional to 980.44 and 1,447.88

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Solution

The third proportional to 980.44 and 1,447.88 is: 2,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.44 : 1,447.88 = 1,447.88 : x
  2. Step 2: Convert to fraction form
    980.44/1,447.88 = 1,447.88/x
  3. Step 3: Cross multiply
    980.44x = 1,447.88 × 1,447.88
  4. Step 4: Simplify right side
    980.44x = 2,096,342.02
  5. Step 5: Solve for x
    x = 2,096,342.02/980.44
  6. Step 6: Final answer
    x = 2,138.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.