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Finding the Third Proportional to 230,067 and 471,291

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Solution

The third proportional to 230,067 and 471,291 is: 965,437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,067 : 471,291 = 471,291 : x
  2. Step 2: Convert to fraction form
    230,067/471,291 = 471,291/x
  3. Step 3: Cross multiply
    230,067x = 471,291 × 471,291
  4. Step 4: Simplify right side
    230,067x = 222,115,206,681
  5. Step 5: Solve for x
    x = 222,115,206,681/230,067
  6. Step 6: Final answer
    x = 965,437.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.