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Finding the Third Proportional to 185,409 and 398,772

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Solution

The third proportional to 185,409 and 398,772 is: 857,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,409 : 398,772 = 398,772 : x
  2. Step 2: Convert to fraction form
    185,409/398,772 = 398,772/x
  3. Step 3: Cross multiply
    185,409x = 398,772 × 398,772
  4. Step 4: Simplify right side
    185,409x = 159,019,107,984
  5. Step 5: Solve for x
    x = 159,019,107,984/185,409
  6. Step 6: Final answer
    x = 857,666.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.