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Finding the Third Proportional to 279,196 and 444,694

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Solution

The third proportional to 279,196 and 444,694 is: 708,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,196 : 444,694 = 444,694 : x
  2. Step 2: Convert to fraction form
    279,196/444,694 = 444,694/x
  3. Step 3: Cross multiply
    279,196x = 444,694 × 444,694
  4. Step 4: Simplify right side
    279,196x = 197,752,753,636
  5. Step 5: Solve for x
    x = 197,752,753,636/279,196
  6. Step 6: Final answer
    x = 708,293.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.