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Finding the Third Proportional to 204,821 and 445,546

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Solution

The third proportional to 204,821 and 445,546 is: 969,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,821 : 445,546 = 445,546 : x
  2. Step 2: Convert to fraction form
    204,821/445,546 = 445,546/x
  3. Step 3: Cross multiply
    204,821x = 445,546 × 445,546
  4. Step 4: Simplify right side
    204,821x = 198,511,238,116
  5. Step 5: Solve for x
    x = 198,511,238,116/204,821
  6. Step 6: Final answer
    x = 969,193.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.