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Finding the Third Proportional to 327,268.50 and 706,174.50

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Solution

The third proportional to 327,268.50 and 706,174.50 is: 1,523,771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,268.50 : 706,174.50 = 706,174.50 : x
  2. Step 2: Convert to fraction form
    327,268.50/706,174.50 = 706,174.50/x
  3. Step 3: Cross multiply
    327,268.50x = 706,174.50 × 706,174.50
  4. Step 4: Simplify right side
    327,268.50x = 498,682,424,450.25
  5. Step 5: Solve for x
    x = 498,682,424,450.25/327,268.50
  6. Step 6: Final answer
    x = 1,523,771.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.