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Finding the Third Proportional to 309,876 and 667,183.50

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Solution

The third proportional to 309,876 and 667,183.50 is: 1,436,490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,876 : 667,183.50 = 667,183.50 : x
  2. Step 2: Convert to fraction form
    309,876/667,183.50 = 667,183.50/x
  3. Step 3: Cross multiply
    309,876x = 667,183.50 × 667,183.50
  4. Step 4: Simplify right side
    309,876x = 445,133,822,672.25
  5. Step 5: Solve for x
    x = 445,133,822,672.25/309,876
  6. Step 6: Final answer
    x = 1,436,490.15

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.