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Finding the Third Proportional to 180,600 and 394,512

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Solution

The third proportional to 180,600 and 394,512 is: 861,792.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,600 : 394,512 = 394,512 : x
  2. Step 2: Convert to fraction form
    180,600/394,512 = 394,512/x
  3. Step 3: Cross multiply
    180,600x = 394,512 × 394,512
  4. Step 4: Simplify right side
    180,600x = 155,639,718,144
  5. Step 5: Solve for x
    x = 155,639,718,144/180,600
  6. Step 6: Final answer
    x = 861,792.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.