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Finding the Third Proportional to 303,984.50 and 444,249.75

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Solution

The third proportional to 303,984.50 and 444,249.75 is: 649,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,984.50 : 444,249.75 = 444,249.75 : x
  2. Step 2: Convert to fraction form
    303,984.50/444,249.75 = 444,249.75/x
  3. Step 3: Cross multiply
    303,984.50x = 444,249.75 × 444,249.75
  4. Step 4: Simplify right side
    303,984.50x = 197,357,840,375.06
  5. Step 5: Solve for x
    x = 197,357,840,375.06/303,984.50
  6. Step 6: Final answer
    x = 649,236.52

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.