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Finding the Third Proportional to 262,839,338 and 408,595,629

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Solution

The third proportional to 262,839,338 and 408,595,629 is: 635,180,370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,839,338 : 408,595,629 = 408,595,629 : x
  2. Step 2: Convert to fraction form
    262,839,338/408,595,629 = 408,595,629/x
  3. Step 3: Cross multiply
    262,839,338x = 408,595,629 × 408,595,629
  4. Step 4: Simplify right side
    262,839,338x = 166,950,388,037,905,632
  5. Step 5: Solve for x
    x = 166,950,388,037,905,632/262,839,338
  6. Step 6: Final answer
    x = 635,180,370.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.