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Finding the Third Proportional to 391,974.56 and 831,049.31

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Solution

The third proportional to 391,974.56 and 831,049.31 is: 1,761,958.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,974.56 : 831,049.31 = 831,049.31 : x
  2. Step 2: Convert to fraction form
    391,974.56/831,049.31 = 831,049.31/x
  3. Step 3: Cross multiply
    391,974.56x = 831,049.31 × 831,049.31
  4. Step 4: Simplify right side
    391,974.56x = 690,642,959,806.72
  5. Step 5: Solve for x
    x = 690,642,959,806.72/391,974.56
  6. Step 6: Final answer
    x = 1,761,958.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.