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Finding the Third Proportional to 263,600 and 408,468

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Solution

The third proportional to 263,600 and 408,468 is: 632,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,600 : 408,468 = 408,468 : x
  2. Step 2: Convert to fraction form
    263,600/408,468 = 408,468/x
  3. Step 3: Cross multiply
    263,600x = 408,468 × 408,468
  4. Step 4: Simplify right side
    263,600x = 166,846,107,024
  5. Step 5: Solve for x
    x = 166,846,107,024/263,600
  6. Step 6: Final answer
    x = 632,951.85

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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.