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Finding the Third Proportional to 338,849 and 451,737

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Solution

The third proportional to 338,849 and 451,737 is: 602,233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,849 : 451,737 = 451,737 : x
  2. Step 2: Convert to fraction form
    338,849/451,737 = 451,737/x
  3. Step 3: Cross multiply
    338,849x = 451,737 × 451,737
  4. Step 4: Simplify right side
    338,849x = 204,066,317,169
  5. Step 5: Solve for x
    x = 204,066,317,169/338,849
  6. Step 6: Final answer
    x = 602,233.79

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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.