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Finding the Third Proportional to 307,144.50 and 673,338.75

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Solution

The third proportional to 307,144.50 and 673,338.75 is: 1,476,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,144.50 : 673,338.75 = 673,338.75 : x
  2. Step 2: Convert to fraction form
    307,144.50/673,338.75 = 673,338.75/x
  3. Step 3: Cross multiply
    307,144.50x = 673,338.75 × 673,338.75
  4. Step 4: Simplify right side
    307,144.50x = 453,385,072,251.56
  5. Step 5: Solve for x
    x = 453,385,072,251.56/307,144.50
  6. Step 6: Final answer
    x = 1,476,129.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.