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Finding the Third Proportional to 311,082 and 440,103

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Solution

The third proportional to 311,082 and 440,103 is: 622,635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,082 : 440,103 = 440,103 : x
  2. Step 2: Convert to fraction form
    311,082/440,103 = 440,103/x
  3. Step 3: Cross multiply
    311,082x = 440,103 × 440,103
  4. Step 4: Simplify right side
    311,082x = 193,690,650,609
  5. Step 5: Solve for x
    x = 193,690,650,609/311,082
  6. Step 6: Final answer
    x = 622,635.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.