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Finding the Third Proportional to 997.13 and 2,196.75

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Solution

The third proportional to 997.13 and 2,196.75 is: 4,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.13 : 2,196.75 = 2,196.75 : x
  2. Step 2: Convert to fraction form
    997.13/2,196.75 = 2,196.75/x
  3. Step 3: Cross multiply
    997.13x = 2,196.75 × 2,196.75
  4. Step 4: Simplify right side
    997.13x = 4,825,710.56
  5. Step 5: Solve for x
    x = 4,825,710.56/997.13
  6. Step 6: Final answer
    x = 4,839.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.