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Finding the Third Proportional to 322,062.75 and 699,620.63

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Solution

The third proportional to 322,062.75 and 699,620.63 is: 1,519,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,062.75 : 699,620.63 = 699,620.63 : x
  2. Step 2: Convert to fraction form
    322,062.75/699,620.63 = 699,620.63/x
  3. Step 3: Cross multiply
    322,062.75x = 699,620.63 × 699,620.63
  4. Step 4: Simplify right side
    322,062.75x = 489,469,018,925.39
  5. Step 5: Solve for x
    x = 489,469,018,925.39/322,062.75
  6. Step 6: Final answer
    x = 1,519,793.95

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Why These Related Problems?

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