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Finding the Third Proportional to 394,584 and 852,232

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Solution

The third proportional to 394,584 and 852,232 is: 1,840,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,584 : 852,232 = 852,232 : x
  2. Step 2: Convert to fraction form
    394,584/852,232 = 852,232/x
  3. Step 3: Cross multiply
    394,584x = 852,232 × 852,232
  4. Step 4: Simplify right side
    394,584x = 726,299,381,824
  5. Step 5: Solve for x
    x = 726,299,381,824/394,584
  6. Step 6: Final answer
    x = 1,840,671.14

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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.