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Finding the Third Proportional to 217,800 and 444,816

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Solution

The third proportional to 217,800 and 444,816 is: 908,453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,800 : 444,816 = 444,816 : x
  2. Step 2: Convert to fraction form
    217,800/444,816 = 444,816/x
  3. Step 3: Cross multiply
    217,800x = 444,816 × 444,816
  4. Step 4: Simplify right side
    217,800x = 197,861,273,856
  5. Step 5: Solve for x
    x = 197,861,273,856/217,800
  6. Step 6: Final answer
    x = 908,453.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.