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Finding the Third Proportional to 398,366 and 860,156

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Solution

The third proportional to 398,366 and 860,156 is: 1,857,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,366 : 860,156 = 860,156 : x
  2. Step 2: Convert to fraction form
    398,366/860,156 = 860,156/x
  3. Step 3: Cross multiply
    398,366x = 860,156 × 860,156
  4. Step 4: Simplify right side
    398,366x = 739,868,344,336
  5. Step 5: Solve for x
    x = 739,868,344,336/398,366
  6. Step 6: Final answer
    x = 1,857,257.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.