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Finding the Third Proportional to 263,644 and 408,571

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Solution

The third proportional to 263,644 and 408,571 is: 633,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,644 : 408,571 = 408,571 : x
  2. Step 2: Convert to fraction form
    263,644/408,571 = 408,571/x
  3. Step 3: Cross multiply
    263,644x = 408,571 × 408,571
  4. Step 4: Simplify right side
    263,644x = 166,930,262,041
  5. Step 5: Solve for x
    x = 166,930,262,041/263,644
  6. Step 6: Final answer
    x = 633,165.41

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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.