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Finding the Third Proportional to 234,758 and 457,756

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Solution

The third proportional to 234,758 and 457,756 is: 892,581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,758 : 457,756 = 457,756 : x
  2. Step 2: Convert to fraction form
    234,758/457,756 = 457,756/x
  3. Step 3: Cross multiply
    234,758x = 457,756 × 457,756
  4. Step 4: Simplify right side
    234,758x = 209,540,555,536
  5. Step 5: Solve for x
    x = 209,540,555,536/234,758
  6. Step 6: Final answer
    x = 892,581.11

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.