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Finding the Third Proportional to 185,679 and 396,414

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Solution

The third proportional to 185,679 and 396,414 is: 846,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,679 : 396,414 = 396,414 : x
  2. Step 2: Convert to fraction form
    185,679/396,414 = 396,414/x
  3. Step 3: Cross multiply
    185,679x = 396,414 × 396,414
  4. Step 4: Simplify right side
    185,679x = 157,144,059,396
  5. Step 5: Solve for x
    x = 157,144,059,396/185,679
  6. Step 6: Final answer
    x = 846,321.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.