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Finding the Third Proportional to 196,992 and 431,744

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Solution

The third proportional to 196,992 and 431,744 is: 946,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,992 : 431,744 = 431,744 : x
  2. Step 2: Convert to fraction form
    196,992/431,744 = 431,744/x
  3. Step 3: Cross multiply
    196,992x = 431,744 × 431,744
  4. Step 4: Simplify right side
    196,992x = 186,402,881,536
  5. Step 5: Solve for x
    x = 186,402,881,536/196,992
  6. Step 6: Final answer
    x = 946,245.95

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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.