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Finding the Third Proportional to 676 and 991.75

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Solution

The third proportional to 676 and 991.75 is: 1,454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    676 : 991.75 = 991.75 : x
  2. Step 2: Convert to fraction form
    676/991.75 = 991.75/x
  3. Step 3: Cross multiply
    676x = 991.75 × 991.75
  4. Step 4: Simplify right side
    676x = 983,568.06
  5. Step 5: Solve for x
    x = 983,568.06/676
  6. Step 6: Final answer
    x = 1,454.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.