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Finding the Third Proportional to 261,960.75 and 394,992

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Solution

The third proportional to 261,960.75 and 394,992 is: 595,580.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,960.75 : 394,992 = 394,992 : x
  2. Step 2: Convert to fraction form
    261,960.75/394,992 = 394,992/x
  3. Step 3: Cross multiply
    261,960.75x = 394,992 × 394,992
  4. Step 4: Simplify right side
    261,960.75x = 156,018,680,064
  5. Step 5: Solve for x
    x = 156,018,680,064/261,960.75
  6. Step 6: Final answer
    x = 595,580.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.