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Finding the Third Proportional to 258,408,475.25 and 397,192,512

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Solution

The third proportional to 258,408,475.25 and 397,192,512 is: 610,513,611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,408,475.25 : 397,192,512 = 397,192,512 : x
  2. Step 2: Convert to fraction form
    258,408,475.25/397,192,512 = 397,192,512/x
  3. Step 3: Cross multiply
    258,408,475.25x = 397,192,512 × 397,192,512
  4. Step 4: Simplify right side
    258,408,475.25x = 157,761,891,588,870,144
  5. Step 5: Solve for x
    x = 157,761,891,588,870,144/258,408,475.25
  6. Step 6: Final answer
    x = 610,513,611.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.