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Finding the Third Proportional to 404,330 and 613,876

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Solution

The third proportional to 404,330 and 613,876 is: 932,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,330 : 613,876 = 613,876 : x
  2. Step 2: Convert to fraction form
    404,330/613,876 = 613,876/x
  3. Step 3: Cross multiply
    404,330x = 613,876 × 613,876
  4. Step 4: Simplify right side
    404,330x = 376,843,743,376
  5. Step 5: Solve for x
    x = 376,843,743,376/404,330
  6. Step 6: Final answer
    x = 932,020.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.