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Finding the Third Proportional to 376,218 and 804,204

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Solution

The third proportional to 376,218 and 804,204 is: 1,719,067.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,218 : 804,204 = 804,204 : x
  2. Step 2: Convert to fraction form
    376,218/804,204 = 804,204/x
  3. Step 3: Cross multiply
    376,218x = 804,204 × 804,204
  4. Step 4: Simplify right side
    376,218x = 646,744,073,616
  5. Step 5: Solve for x
    x = 646,744,073,616/376,218
  6. Step 6: Final answer
    x = 1,719,067.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.