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Finding the Third Proportional to 311,728 and 681,788

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Solution

The third proportional to 311,728 and 681,788 is: 1,491,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,728 : 681,788 = 681,788 : x
  2. Step 2: Convert to fraction form
    311,728/681,788 = 681,788/x
  3. Step 3: Cross multiply
    311,728x = 681,788 × 681,788
  4. Step 4: Simplify right side
    311,728x = 464,834,876,944
  5. Step 5: Solve for x
    x = 464,834,876,944/311,728
  6. Step 6: Final answer
    x = 1,491,155.36

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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.