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Finding the Third Proportional to 321,939 and 699,234.75

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Solution

The third proportional to 321,939 and 699,234.75 is: 1,518,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,939 : 699,234.75 = 699,234.75 : x
  2. Step 2: Convert to fraction form
    321,939/699,234.75 = 699,234.75/x
  3. Step 3: Cross multiply
    321,939x = 699,234.75 × 699,234.75
  4. Step 4: Simplify right side
    321,939x = 488,929,235,607.56
  5. Step 5: Solve for x
    x = 488,929,235,607.56/321,939
  6. Step 6: Final answer
    x = 1,518,701.48

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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.