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Finding the Third Proportional to 321,949.69 and 699,212.25

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Solution

The third proportional to 321,949.69 and 699,212.25 is: 1,518,553.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,949.69 : 699,212.25 = 699,212.25 : x
  2. Step 2: Convert to fraction form
    321,949.69/699,212.25 = 699,212.25/x
  3. Step 3: Cross multiply
    321,949.69x = 699,212.25 × 699,212.25
  4. Step 4: Simplify right side
    321,949.69x = 488,897,770,550.06
  5. Step 5: Solve for x
    x = 488,897,770,550.06/321,949.69
  6. Step 6: Final answer
    x = 1,518,553.33

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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.