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Finding the Third Proportional to 258,512 and 388,041

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Solution

The third proportional to 258,512 and 388,041 is: 582,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,512 : 388,041 = 388,041 : x
  2. Step 2: Convert to fraction form
    258,512/388,041 = 388,041/x
  3. Step 3: Cross multiply
    258,512x = 388,041 × 388,041
  4. Step 4: Simplify right side
    258,512x = 150,575,817,681
  5. Step 5: Solve for x
    x = 150,575,817,681/258,512
  6. Step 6: Final answer
    x = 582,471.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.