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Finding the Third Proportional to 201,067 and 441,983

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Solution

The third proportional to 201,067 and 441,983 is: 971,561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,067 : 441,983 = 441,983 : x
  2. Step 2: Convert to fraction form
    201,067/441,983 = 441,983/x
  3. Step 3: Cross multiply
    201,067x = 441,983 × 441,983
  4. Step 4: Simplify right side
    201,067x = 195,348,972,289
  5. Step 5: Solve for x
    x = 195,348,972,289/201,067
  6. Step 6: Final answer
    x = 971,561.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.