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Finding the Third Proportional to 331,906,181 and 479,505,831

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Solution

The third proportional to 331,906,181 and 479,505,831 is: 692,743,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,906,181 : 479,505,831 = 479,505,831 : x
  2. Step 2: Convert to fraction form
    331,906,181/479,505,831 = 479,505,831/x
  3. Step 3: Cross multiply
    331,906,181x = 479,505,831 × 479,505,831
  4. Step 4: Simplify right side
    331,906,181x = 229,925,841,963,000,576
  5. Step 5: Solve for x
    x = 229,925,841,963,000,576/331,906,181
  6. Step 6: Final answer
    x = 692,743,477.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.