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Finding the Third Proportional to 275,870 and 421,824

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Solution

The third proportional to 275,870 and 421,824 is: 644,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,870 : 421,824 = 421,824 : x
  2. Step 2: Convert to fraction form
    275,870/421,824 = 421,824/x
  3. Step 3: Cross multiply
    275,870x = 421,824 × 421,824
  4. Step 4: Simplify right side
    275,870x = 177,935,486,976
  5. Step 5: Solve for x
    x = 177,935,486,976/275,870
  6. Step 6: Final answer
    x = 644,997.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.