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Finding the Third Proportional to 381,976 and 809,486

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Solution

The third proportional to 381,976 and 809,486 is: 1,715,467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,976 : 809,486 = 809,486 : x
  2. Step 2: Convert to fraction form
    381,976/809,486 = 809,486/x
  3. Step 3: Cross multiply
    381,976x = 809,486 × 809,486
  4. Step 4: Simplify right side
    381,976x = 655,267,584,196
  5. Step 5: Solve for x
    x = 655,267,584,196/381,976
  6. Step 6: Final answer
    x = 1,715,467.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.