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Finding the Third Proportional to 311,860 and 486,022

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Solution

The third proportional to 311,860 and 486,022 is: 757,446.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,860 : 486,022 = 486,022 : x
  2. Step 2: Convert to fraction form
    311,860/486,022 = 486,022/x
  3. Step 3: Cross multiply
    311,860x = 486,022 × 486,022
  4. Step 4: Simplify right side
    311,860x = 236,217,384,484
  5. Step 5: Solve for x
    x = 236,217,384,484/311,860
  6. Step 6: Final answer
    x = 757,446.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.