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Finding the Third Proportional to 274,120 and 399,512

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Solution

The third proportional to 274,120 and 399,512 is: 582,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,120 : 399,512 = 399,512 : x
  2. Step 2: Convert to fraction form
    274,120/399,512 = 399,512/x
  3. Step 3: Cross multiply
    274,120x = 399,512 × 399,512
  4. Step 4: Simplify right side
    274,120x = 159,609,838,144
  5. Step 5: Solve for x
    x = 159,609,838,144/274,120
  6. Step 6: Final answer
    x = 582,262.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.