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Finding the Third Proportional to 443,163.75 and 966,510.75

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Solution

The third proportional to 443,163.75 and 966,510.75 is: 2,107,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,163.75 : 966,510.75 = 966,510.75 : x
  2. Step 2: Convert to fraction form
    443,163.75/966,510.75 = 966,510.75/x
  3. Step 3: Cross multiply
    443,163.75x = 966,510.75 × 966,510.75
  4. Step 4: Simplify right side
    443,163.75x = 934,143,029,865.56
  5. Step 5: Solve for x
    x = 934,143,029,865.56/443,163.75
  6. Step 6: Final answer
    x = 2,107,895.85

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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.