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Finding the Third Proportional to 327,327,858 and 714,652,917.75

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Solution

The third proportional to 327,327,858 and 714,652,917.75 is: 1,560,297,360.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,327,858 : 714,652,917.75 = 714,652,917.75 : x
  2. Step 2: Convert to fraction form
    327,327,858/714,652,917.75 = 714,652,917.75/x
  3. Step 3: Cross multiply
    327,327,858x = 714,652,917.75 × 714,652,917.75
  4. Step 4: Simplify right side
    327,327,858x = 510,728,792,848,588,288
  5. Step 5: Solve for x
    x = 510,728,792,848,588,288/327,327,858
  6. Step 6: Final answer
    x = 1,560,297,360.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.