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Finding the Third Proportional to 185,677 and 396,410

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Solution

The third proportional to 185,677 and 396,410 is: 846,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,677 : 396,410 = 396,410 : x
  2. Step 2: Convert to fraction form
    185,677/396,410 = 396,410/x
  3. Step 3: Cross multiply
    185,677x = 396,410 × 396,410
  4. Step 4: Simplify right side
    185,677x = 157,140,888,100
  5. Step 5: Solve for x
    x = 157,140,888,100/185,677
  6. Step 6: Final answer
    x = 846,313.16

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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.