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Finding the Third Proportional to 322,067.50 and 699,630.50

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Solution

The third proportional to 322,067.50 and 699,630.50 is: 1,519,814.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,067.50 : 699,630.50 = 699,630.50 : x
  2. Step 2: Convert to fraction form
    322,067.50/699,630.50 = 699,630.50/x
  3. Step 3: Cross multiply
    322,067.50x = 699,630.50 × 699,630.50
  4. Step 4: Simplify right side
    322,067.50x = 489,482,836,530.25
  5. Step 5: Solve for x
    x = 489,482,836,530.25/322,067.50
  6. Step 6: Final answer
    x = 1,519,814.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.