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Finding the Third Proportional to 731.75 and 991.88

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Solution

The third proportional to 731.75 and 991.88 is: 1,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.75 : 991.88 = 991.88 : x
  2. Step 2: Convert to fraction form
    731.75/991.88 = 991.88/x
  3. Step 3: Cross multiply
    731.75x = 991.88 × 991.88
  4. Step 4: Simplify right side
    731.75x = 983,816.02
  5. Step 5: Solve for x
    x = 983,816.02/731.75
  6. Step 6: Final answer
    x = 1,344.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.