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Finding the Third Proportional to 338,067 and 523,197

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Solution

The third proportional to 338,067 and 523,197 is: 809,706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,067 : 523,197 = 523,197 : x
  2. Step 2: Convert to fraction form
    338,067/523,197 = 523,197/x
  3. Step 3: Cross multiply
    338,067x = 523,197 × 523,197
  4. Step 4: Simplify right side
    338,067x = 273,735,100,809
  5. Step 5: Solve for x
    x = 273,735,100,809/338,067
  6. Step 6: Final answer
    x = 809,706.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.