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Finding the Third Proportional to 683.23 and 963.88

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Solution

The third proportional to 683.23 and 963.88 is: 1,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.23 : 963.88 = 963.88 : x
  2. Step 2: Convert to fraction form
    683.23/963.88 = 963.88/x
  3. Step 3: Cross multiply
    683.23x = 963.88 × 963.88
  4. Step 4: Simplify right side
    683.23x = 929,062.55
  5. Step 5: Solve for x
    x = 929,062.55/683.23
  6. Step 6: Final answer
    x = 1,359.82

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.