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Finding the Third Proportional to 268,814 and 397,092

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Solution

The third proportional to 268,814 and 397,092 is: 586,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,814 : 397,092 = 397,092 : x
  2. Step 2: Convert to fraction form
    268,814/397,092 = 397,092/x
  3. Step 3: Cross multiply
    268,814x = 397,092 × 397,092
  4. Step 4: Simplify right side
    268,814x = 157,682,056,464
  5. Step 5: Solve for x
    x = 157,682,056,464/268,814
  6. Step 6: Final answer
    x = 586,584.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.