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Finding the Third Proportional to 185,416 and 398,786

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Solution

The third proportional to 185,416 and 398,786 is: 857,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,416 : 398,786 = 398,786 : x
  2. Step 2: Convert to fraction form
    185,416/398,786 = 398,786/x
  3. Step 3: Cross multiply
    185,416x = 398,786 × 398,786
  4. Step 4: Simplify right side
    185,416x = 159,030,273,796
  5. Step 5: Solve for x
    x = 159,030,273,796/185,416
  6. Step 6: Final answer
    x = 857,694.45

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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.