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Finding the Third Proportional to 196,956 and 474,849

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Solution

The third proportional to 196,956 and 474,849 is: 1,144,832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,956 : 474,849 = 474,849 : x
  2. Step 2: Convert to fraction form
    196,956/474,849 = 474,849/x
  3. Step 3: Cross multiply
    196,956x = 474,849 × 474,849
  4. Step 4: Simplify right side
    196,956x = 225,481,572,801
  5. Step 5: Solve for x
    x = 225,481,572,801/196,956
  6. Step 6: Final answer
    x = 1,144,832.21

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.