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Finding the Third Proportional to 204,738 and 444,846

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Solution

The third proportional to 204,738 and 444,846 is: 966,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,738 : 444,846 = 444,846 : x
  2. Step 2: Convert to fraction form
    204,738/444,846 = 444,846/x
  3. Step 3: Cross multiply
    204,738x = 444,846 × 444,846
  4. Step 4: Simplify right side
    204,738x = 197,887,963,716
  5. Step 5: Solve for x
    x = 197,887,963,716/204,738
  6. Step 6: Final answer
    x = 966,542.43

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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.