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Finding the Third Proportional to 311,716 and 681,748

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Solution

The third proportional to 311,716 and 681,748 is: 1,491,037.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,716 : 681,748 = 681,748 : x
  2. Step 2: Convert to fraction form
    311,716/681,748 = 681,748/x
  3. Step 3: Cross multiply
    311,716x = 681,748 × 681,748
  4. Step 4: Simplify right side
    311,716x = 464,780,335,504
  5. Step 5: Solve for x
    x = 464,780,335,504/311,716
  6. Step 6: Final answer
    x = 1,491,037.79

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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.