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Finding the Third Proportional to 205,944 and 481,120

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Solution

The third proportional to 205,944 and 481,120 is: 1,123,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,944 : 481,120 = 481,120 : x
  2. Step 2: Convert to fraction form
    205,944/481,120 = 481,120/x
  3. Step 3: Cross multiply
    205,944x = 481,120 × 481,120
  4. Step 4: Simplify right side
    205,944x = 231,476,454,400
  5. Step 5: Solve for x
    x = 231,476,454,400/205,944
  6. Step 6: Final answer
    x = 1,123,977.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.