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Finding the Third Proportional to 196,824 and 419,424

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Solution

The third proportional to 196,824 and 419,424 is: 893,775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,824 : 419,424 = 419,424 : x
  2. Step 2: Convert to fraction form
    196,824/419,424 = 419,424/x
  3. Step 3: Cross multiply
    196,824x = 419,424 × 419,424
  4. Step 4: Simplify right side
    196,824x = 175,916,491,776
  5. Step 5: Solve for x
    x = 175,916,491,776/196,824
  6. Step 6: Final answer
    x = 893,775.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.