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Finding the Third Proportional to 204,048 and 418,412

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Solution

The third proportional to 204,048 and 418,412 is: 857,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,048 : 418,412 = 418,412 : x
  2. Step 2: Convert to fraction form
    204,048/418,412 = 418,412/x
  3. Step 3: Cross multiply
    204,048x = 418,412 × 418,412
  4. Step 4: Simplify right side
    204,048x = 175,068,601,744
  5. Step 5: Solve for x
    x = 175,068,601,744/204,048
  6. Step 6: Final answer
    x = 857,977.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.