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Finding the Third Proportional to 721.75 and 1,197.38

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Solution

The third proportional to 721.75 and 1,197.38 is: 1,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.75 : 1,197.38 = 1,197.38 : x
  2. Step 2: Convert to fraction form
    721.75/1,197.38 = 1,197.38/x
  3. Step 3: Cross multiply
    721.75x = 1,197.38 × 1,197.38
  4. Step 4: Simplify right side
    721.75x = 1,433,706.89
  5. Step 5: Solve for x
    x = 1,433,706.89/721.75
  6. Step 6: Final answer
    x = 1,986.43

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.