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Finding the Third Proportional to 701.44 and 982.88

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Solution

The third proportional to 701.44 and 982.88 is: 1,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.44 : 982.88 = 982.88 : x
  2. Step 2: Convert to fraction form
    701.44/982.88 = 982.88/x
  3. Step 3: Cross multiply
    701.44x = 982.88 × 982.88
  4. Step 4: Simplify right side
    701.44x = 966,043.27
  5. Step 5: Solve for x
    x = 966,043.27/701.44
  6. Step 6: Final answer
    x = 1,377.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.