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Finding the Third Proportional to 620.75 and 1,102.38

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Solution

The third proportional to 620.75 and 1,102.38 is: 1,957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.75 : 1,102.38 = 1,102.38 : x
  2. Step 2: Convert to fraction form
    620.75/1,102.38 = 1,102.38/x
  3. Step 3: Cross multiply
    620.75x = 1,102.38 × 1,102.38
  4. Step 4: Simplify right side
    620.75x = 1,215,230.64
  5. Step 5: Solve for x
    x = 1,215,230.64/620.75
  6. Step 6: Final answer
    x = 1,957.68

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.