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Finding the Third Proportional to 275,827.78 and 421,764.47

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Solution

The third proportional to 275,827.78 and 421,764.47 is: 644,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,827.78 : 421,764.47 = 421,764.47 : x
  2. Step 2: Convert to fraction form
    275,827.78/421,764.47 = 421,764.47/x
  3. Step 3: Cross multiply
    275,827.78x = 421,764.47 × 421,764.47
  4. Step 4: Simplify right side
    275,827.78x = 177,885,267,099.97
  5. Step 5: Solve for x
    x = 177,885,267,099.97/275,827.78
  6. Step 6: Final answer
    x = 644,914.25

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