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Finding the Third Proportional to 204,954 and 445,368

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Solution

The third proportional to 204,954 and 445,368 is: 967,791.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,954 : 445,368 = 445,368 : x
  2. Step 2: Convert to fraction form
    204,954/445,368 = 445,368/x
  3. Step 3: Cross multiply
    204,954x = 445,368 × 445,368
  4. Step 4: Simplify right side
    204,954x = 198,352,655,424
  5. Step 5: Solve for x
    x = 198,352,655,424/204,954
  6. Step 6: Final answer
    x = 967,791.09

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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.