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Finding the Third Proportional to 205,864 and 445,945

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Solution

The third proportional to 205,864 and 445,945 is: 966,011.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,864 : 445,945 = 445,945 : x
  2. Step 2: Convert to fraction form
    205,864/445,945 = 445,945/x
  3. Step 3: Cross multiply
    205,864x = 445,945 × 445,945
  4. Step 4: Simplify right side
    205,864x = 198,866,943,025
  5. Step 5: Solve for x
    x = 198,866,943,025/205,864
  6. Step 6: Final answer
    x = 966,011.26

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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.