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Finding the Third Proportional to 263,883 and 408,777

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Solution

The third proportional to 263,883 and 408,777 is: 633,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,883 : 408,777 = 408,777 : x
  2. Step 2: Convert to fraction form
    263,883/408,777 = 408,777/x
  3. Step 3: Cross multiply
    263,883x = 408,777 × 408,777
  4. Step 4: Simplify right side
    263,883x = 167,098,635,729
  5. Step 5: Solve for x
    x = 167,098,635,729/263,883
  6. Step 6: Final answer
    x = 633,230.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.