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Finding the Third Proportional to 204,894 and 444,780

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Solution

The third proportional to 204,894 and 444,780 is: 965,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,894 : 444,780 = 444,780 : x
  2. Step 2: Convert to fraction form
    204,894/444,780 = 444,780/x
  3. Step 3: Cross multiply
    204,894x = 444,780 × 444,780
  4. Step 4: Simplify right side
    204,894x = 197,829,248,400
  5. Step 5: Solve for x
    x = 197,829,248,400/204,894
  6. Step 6: Final answer
    x = 965,519.97

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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.