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Finding the Third Proportional to 177,821 and 419,753

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Solution

The third proportional to 177,821 and 419,753 is: 990,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,821 : 419,753 = 419,753 : x
  2. Step 2: Convert to fraction form
    177,821/419,753 = 419,753/x
  3. Step 3: Cross multiply
    177,821x = 419,753 × 419,753
  4. Step 4: Simplify right side
    177,821x = 176,192,581,009
  5. Step 5: Solve for x
    x = 176,192,581,009/177,821
  6. Step 6: Final answer
    x = 990,842.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.