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Finding the Third Proportional to 177,824 and 419,764

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Solution

The third proportional to 177,824 and 419,764 is: 990,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,824 : 419,764 = 419,764 : x
  2. Step 2: Convert to fraction form
    177,824/419,764 = 419,764/x
  3. Step 3: Cross multiply
    177,824x = 419,764 × 419,764
  4. Step 4: Simplify right side
    177,824x = 176,201,815,696
  5. Step 5: Solve for x
    x = 176,201,815,696/177,824
  6. Step 6: Final answer
    x = 990,877.59

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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.