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Finding the Third Proportional to 443,099.53 and 966,402.56

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Solution

The third proportional to 443,099.53 and 966,402.56 is: 2,107,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,099.53 : 966,402.56 = 966,402.56 : x
  2. Step 2: Convert to fraction form
    443,099.53/966,402.56 = 966,402.56/x
  3. Step 3: Cross multiply
    443,099.53x = 966,402.56 × 966,402.56
  4. Step 4: Simplify right side
    443,099.53x = 933,933,912,806.57
  5. Step 5: Solve for x
    x = 933,933,912,806.57/443,099.53
  6. Step 6: Final answer
    x = 2,107,729.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.