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Finding the Third Proportional to 196,794 and 431,424

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Solution

The third proportional to 196,794 and 431,424 is: 945,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,794 : 431,424 = 431,424 : x
  2. Step 2: Convert to fraction form
    196,794/431,424 = 431,424/x
  3. Step 3: Cross multiply
    196,794x = 431,424 × 431,424
  4. Step 4: Simplify right side
    196,794x = 186,126,667,776
  5. Step 5: Solve for x
    x = 186,126,667,776/196,794
  6. Step 6: Final answer
    x = 945,794.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.