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Finding the Third Proportional to 219,216.75 and 471,067.88

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Solution

The third proportional to 219,216.75 and 471,067.88 is: 1,012,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,216.75 : 471,067.88 = 471,067.88 : x
  2. Step 2: Convert to fraction form
    219,216.75/471,067.88 = 471,067.88/x
  3. Step 3: Cross multiply
    219,216.75x = 471,067.88 × 471,067.88
  4. Step 4: Simplify right side
    219,216.75x = 221,904,942,857.02
  5. Step 5: Solve for x
    x = 221,904,942,857.02/219,216.75
  6. Step 6: Final answer
    x = 1,012,262.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.