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Finding the Third Proportional to 419,505,968 and 635,086,578

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Solution

The third proportional to 419,505,968 and 635,086,578 is: 961,452,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,505,968 : 635,086,578 = 635,086,578 : x
  2. Step 2: Convert to fraction form
    419,505,968/635,086,578 = 635,086,578/x
  3. Step 3: Cross multiply
    419,505,968x = 635,086,578 × 635,086,578
  4. Step 4: Simplify right side
    419,505,968x = 403,334,961,555,750,080
  5. Step 5: Solve for x
    x = 403,334,961,555,750,080/419,505,968
  6. Step 6: Final answer
    x = 961,452,261.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.