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Finding the Third Proportional to 394,586 and 852,236

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Solution

The third proportional to 394,586 and 852,236 is: 1,840,679.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,586 : 852,236 = 852,236 : x
  2. Step 2: Convert to fraction form
    394,586/852,236 = 852,236/x
  3. Step 3: Cross multiply
    394,586x = 852,236 × 852,236
  4. Step 4: Simplify right side
    394,586x = 726,306,199,696
  5. Step 5: Solve for x
    x = 726,306,199,696/394,586
  6. Step 6: Final answer
    x = 1,840,679.09

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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.