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Finding the Third Proportional to 327,728,938 and 702,203,876

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Solution

The third proportional to 327,728,938 and 702,203,876 is: 1,504,567,422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,728,938 : 702,203,876 = 702,203,876 : x
  2. Step 2: Convert to fraction form
    327,728,938/702,203,876 = 702,203,876/x
  3. Step 3: Cross multiply
    327,728,938x = 702,203,876 × 702,203,876
  4. Step 4: Simplify right side
    327,728,938x = 493,090,283,469,423,360
  5. Step 5: Solve for x
    x = 493,090,283,469,423,360/327,728,938
  6. Step 6: Final answer
    x = 1,504,567,422.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.