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Finding the Third Proportional to 322,035.75 and 699,414.75

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Solution

The third proportional to 322,035.75 and 699,414.75 is: 1,519,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,035.75 : 699,414.75 = 699,414.75 : x
  2. Step 2: Convert to fraction form
    322,035.75/699,414.75 = 699,414.75/x
  3. Step 3: Cross multiply
    322,035.75x = 699,414.75 × 699,414.75
  4. Step 4: Simplify right side
    322,035.75x = 489,180,992,517.56
  5. Step 5: Solve for x
    x = 489,180,992,517.56/322,035.75
  6. Step 6: Final answer
    x = 1,519,026.98

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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.