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Finding the Third Proportional to 263,652 and 408,584

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Solution

The third proportional to 263,652 and 408,584 is: 633,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,652 : 408,584 = 408,584 : x
  2. Step 2: Convert to fraction form
    263,652/408,584 = 408,584/x
  3. Step 3: Cross multiply
    263,652x = 408,584 × 408,584
  4. Step 4: Simplify right side
    263,652x = 166,940,885,056
  5. Step 5: Solve for x
    x = 166,940,885,056/263,652
  6. Step 6: Final answer
    x = 633,186.49

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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.