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Finding the Third Proportional to 393,617.25 and 812,076.75

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Solution

The third proportional to 393,617.25 and 812,076.75 is: 1,675,405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,617.25 : 812,076.75 = 812,076.75 : x
  2. Step 2: Convert to fraction form
    393,617.25/812,076.75 = 812,076.75/x
  3. Step 3: Cross multiply
    393,617.25x = 812,076.75 × 812,076.75
  4. Step 4: Simplify right side
    393,617.25x = 659,468,647,890.56
  5. Step 5: Solve for x
    x = 659,468,647,890.56/393,617.25
  6. Step 6: Final answer
    x = 1,675,405.86

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Why These Related Problems?

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