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Finding the Third Proportional to 311,524 and 682,016

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Solution

The third proportional to 311,524 and 682,016 is: 1,493,129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,524 : 682,016 = 682,016 : x
  2. Step 2: Convert to fraction form
    311,524/682,016 = 682,016/x
  3. Step 3: Cross multiply
    311,524x = 682,016 × 682,016
  4. Step 4: Simplify right side
    311,524x = 465,145,824,256
  5. Step 5: Solve for x
    x = 465,145,824,256/311,524
  6. Step 6: Final answer
    x = 1,493,129.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.