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Finding the Third Proportional to 996.05 and 1,163.74

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Solution

The third proportional to 996.05 and 1,163.74 is: 1,359.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.05 : 1,163.74 = 1,163.74 : x
  2. Step 2: Convert to fraction form
    996.05/1,163.74 = 1,163.74/x
  3. Step 3: Cross multiply
    996.05x = 1,163.74 × 1,163.74
  4. Step 4: Simplify right side
    996.05x = 1,354,295.88
  5. Step 5: Solve for x
    x = 1,354,295.88/996.05
  6. Step 6: Final answer
    x = 1,359.67

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.