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Finding the Third Proportional to 311,751 and 681,831

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Solution

The third proportional to 311,751 and 681,831 is: 1,491,233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,751 : 681,831 = 681,831 : x
  2. Step 2: Convert to fraction form
    311,751/681,831 = 681,831/x
  3. Step 3: Cross multiply
    311,751x = 681,831 × 681,831
  4. Step 4: Simplify right side
    311,751x = 464,893,512,561
  5. Step 5: Solve for x
    x = 464,893,512,561/311,751
  6. Step 6: Final answer
    x = 1,491,233.43

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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.