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Finding the Third Proportional to 393,716.25 and 812,274.75

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Solution

The third proportional to 393,716.25 and 812,274.75 is: 1,675,801.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,716.25 : 812,274.75 = 812,274.75 : x
  2. Step 2: Convert to fraction form
    393,716.25/812,274.75 = 812,274.75/x
  3. Step 3: Cross multiply
    393,716.25x = 812,274.75 × 812,274.75
  4. Step 4: Simplify right side
    393,716.25x = 659,790,269,487.56
  5. Step 5: Solve for x
    x = 659,790,269,487.56/393,716.25
  6. Step 6: Final answer
    x = 1,675,801.47

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.