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Finding the Third Proportional to 327,056.48 and 693,735.26

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Solution

The third proportional to 327,056.48 and 693,735.26 is: 1,471,515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,056.48 : 693,735.26 = 693,735.26 : x
  2. Step 2: Convert to fraction form
    327,056.48/693,735.26 = 693,735.26/x
  3. Step 3: Cross multiply
    327,056.48x = 693,735.26 × 693,735.26
  4. Step 4: Simplify right side
    327,056.48x = 481,268,607,932.18
  5. Step 5: Solve for x
    x = 481,268,607,932.18/327,056.48
  6. Step 6: Final answer
    x = 1,471,515.26

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.