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Finding the Third Proportional to 327,728,942 and 702,203,884

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Solution

The third proportional to 327,728,942 and 702,203,884 is: 1,504,567,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,728,942 : 702,203,884 = 702,203,884 : x
  2. Step 2: Convert to fraction form
    327,728,942/702,203,884 = 702,203,884/x
  3. Step 3: Cross multiply
    327,728,942x = 702,203,884 × 702,203,884
  4. Step 4: Simplify right side
    327,728,942x = 493,090,294,704,685,440
  5. Step 5: Solve for x
    x = 493,090,294,704,685,440/327,728,942
  6. Step 6: Final answer
    x = 1,504,567,438.25

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