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Finding the Third Proportional to 311,662 and 682,441

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Solution

The third proportional to 311,662 and 682,441 is: 1,494,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,662 : 682,441 = 682,441 : x
  2. Step 2: Convert to fraction form
    311,662/682,441 = 682,441/x
  3. Step 3: Cross multiply
    311,662x = 682,441 × 682,441
  4. Step 4: Simplify right side
    311,662x = 465,725,718,481
  5. Step 5: Solve for x
    x = 465,725,718,481/311,662
  6. Step 6: Final answer
    x = 1,494,329.49

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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.