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Finding the Third Proportional to 338,790.38 and 451,664.44

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Solution

The third proportional to 338,790.38 and 451,664.44 is: 602,144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,790.38 : 451,664.44 = 451,664.44 : x
  2. Step 2: Convert to fraction form
    338,790.38/451,664.44 = 451,664.44/x
  3. Step 3: Cross multiply
    338,790.38x = 451,664.44 × 451,664.44
  4. Step 4: Simplify right side
    338,790.38x = 204,000,764,102.19
  5. Step 5: Solve for x
    x = 204,000,764,102.19/338,790.38
  6. Step 6: Final answer
    x = 602,144.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.