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Finding the Third Proportional to 307,119.94 and 667,293.19

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Solution

The third proportional to 307,119.94 and 667,293.19 is: 1,449,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,119.94 : 667,293.19 = 667,293.19 : x
  2. Step 2: Convert to fraction form
    307,119.94/667,293.19 = 667,293.19/x
  3. Step 3: Cross multiply
    307,119.94x = 667,293.19 × 667,293.19
  4. Step 4: Simplify right side
    307,119.94x = 445,280,198,083.91
  5. Step 5: Solve for x
    x = 445,280,198,083.91/307,119.94
  6. Step 6: Final answer
    x = 1,449,857.67

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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.