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Finding the Third Proportional to 311,730 and 681,774

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Solution

The third proportional to 311,730 and 681,774 is: 1,491,084.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,730 : 681,774 = 681,774 : x
  2. Step 2: Convert to fraction form
    311,730/681,774 = 681,774/x
  3. Step 3: Cross multiply
    311,730x = 681,774 × 681,774
  4. Step 4: Simplify right side
    311,730x = 464,815,787,076
  5. Step 5: Solve for x
    x = 464,815,787,076/311,730
  6. Step 6: Final answer
    x = 1,491,084.55

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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.