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Finding the Third Proportional to 311,217 and 682,698

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Solution

The third proportional to 311,217 and 682,698 is: 1,497,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,217 : 682,698 = 682,698 : x
  2. Step 2: Convert to fraction form
    311,217/682,698 = 682,698/x
  3. Step 3: Cross multiply
    311,217x = 682,698 × 682,698
  4. Step 4: Simplify right side
    311,217x = 466,076,559,204
  5. Step 5: Solve for x
    x = 466,076,559,204/311,217
  6. Step 6: Final answer
    x = 1,497,593.51

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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.