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Finding the Third Proportional to 196,912 and 421,824

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Solution

The third proportional to 196,912 and 421,824 is: 903,629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,912 : 421,824 = 421,824 : x
  2. Step 2: Convert to fraction form
    196,912/421,824 = 421,824/x
  3. Step 3: Cross multiply
    196,912x = 421,824 × 421,824
  4. Step 4: Simplify right side
    196,912x = 177,935,486,976
  5. Step 5: Solve for x
    x = 177,935,486,976/196,912
  6. Step 6: Final answer
    x = 903,629.47

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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.