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Finding the Third Proportional to 381,251 and 825,264

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Solution

The third proportional to 381,251 and 825,264 is: 1,786,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,251 : 825,264 = 825,264 : x
  2. Step 2: Convert to fraction form
    381,251/825,264 = 825,264/x
  3. Step 3: Cross multiply
    381,251x = 825,264 × 825,264
  4. Step 4: Simplify right side
    381,251x = 681,060,669,696
  5. Step 5: Solve for x
    x = 681,060,669,696/381,251
  6. Step 6: Final answer
    x = 1,786,383.96

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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.