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Finding the Third Proportional to 419,505,969 and 635,086,579.50

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Solution

The third proportional to 419,505,969 and 635,086,579.50 is: 961,452,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,505,969 : 635,086,579.50 = 635,086,579.50 : x
  2. Step 2: Convert to fraction form
    419,505,969/635,086,579.50 = 635,086,579.50/x
  3. Step 3: Cross multiply
    419,505,969x = 635,086,579.50 × 635,086,579.50
  4. Step 4: Simplify right side
    419,505,969x = 403,334,963,461,009,792
  5. Step 5: Solve for x
    x = 403,334,963,461,009,792/419,505,969
  6. Step 6: Final answer
    x = 961,452,263.53

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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.