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Finding the Third Proportional to 813 and 876

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Solution

The third proportional to 813 and 876 is: 943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    813 : 876 = 876 : x
  2. Step 2: Convert to fraction form
    813/876 = 876/x
  3. Step 3: Cross multiply
    813x = 876 × 876
  4. Step 4: Simplify right side
    813x = 767,376
  5. Step 5: Solve for x
    x = 767,376/813
  6. Step 6: Final answer
    x = 943.88

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.