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Finding the Third Proportional to 258,410,204 and 397,195,052

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Solution

The third proportional to 258,410,204 and 397,195,052 is: 610,517,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,410,204 : 397,195,052 = 397,195,052 : x
  2. Step 2: Convert to fraction form
    258,410,204/397,195,052 = 397,195,052/x
  3. Step 3: Cross multiply
    258,410,204x = 397,195,052 × 397,195,052
  4. Step 4: Simplify right side
    258,410,204x = 157,763,909,333,282,688
  5. Step 5: Solve for x
    x = 157,763,909,333,282,688/258,410,204
  6. Step 6: Final answer
    x = 610,517,335.97

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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.