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Finding the Third Proportional to 263,601 and 408,456

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Solution

The third proportional to 263,601 and 408,456 is: 632,912.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,601 : 408,456 = 408,456 : x
  2. Step 2: Convert to fraction form
    263,601/408,456 = 408,456/x
  3. Step 3: Cross multiply
    263,601x = 408,456 × 408,456
  4. Step 4: Simplify right side
    263,601x = 166,836,303,936
  5. Step 5: Solve for x
    x = 166,836,303,936/263,601
  6. Step 6: Final answer
    x = 632,912.26

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Why These Related Problems?

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