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Finding the Third Proportional to 225,067.50 and 479,335.50

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Solution

The third proportional to 225,067.50 and 479,335.50 is: 1,020,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,067.50 : 479,335.50 = 479,335.50 : x
  2. Step 2: Convert to fraction form
    225,067.50/479,335.50 = 479,335.50/x
  3. Step 3: Cross multiply
    225,067.50x = 479,335.50 × 479,335.50
  4. Step 4: Simplify right side
    225,067.50x = 229,762,521,560.25
  5. Step 5: Solve for x
    x = 229,762,521,560.25/225,067.50
  6. Step 6: Final answer
    x = 1,020,860.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.