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Finding the Third Proportional to 204,939 and 444,870

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Solution

The third proportional to 204,939 and 444,870 is: 965,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,939 : 444,870 = 444,870 : x
  2. Step 2: Convert to fraction form
    204,939/444,870 = 444,870/x
  3. Step 3: Cross multiply
    204,939x = 444,870 × 444,870
  4. Step 4: Simplify right side
    204,939x = 197,909,316,900
  5. Step 5: Solve for x
    x = 197,909,316,900/204,939
  6. Step 6: Final answer
    x = 965,698.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.