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Finding the Third Proportional to 260,574,907 and 396,967,857

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Solution

The third proportional to 260,574,907 and 396,967,857 is: 604,753,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,574,907 : 396,967,857 = 396,967,857 : x
  2. Step 2: Convert to fraction form
    260,574,907/396,967,857 = 396,967,857/x
  3. Step 3: Cross multiply
    260,574,907x = 396,967,857 × 396,967,857
  4. Step 4: Simplify right side
    260,574,907x = 157,583,479,491,172,448
  5. Step 5: Solve for x
    x = 157,583,479,491,172,448/260,574,907
  6. Step 6: Final answer
    x = 604,753,087.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.