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Finding the Third Proportional to 382,092.75 and 809,664.75

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Solution

The third proportional to 382,092.75 and 809,664.75 is: 1,715,701.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,092.75 : 809,664.75 = 809,664.75 : x
  2. Step 2: Convert to fraction form
    382,092.75/809,664.75 = 809,664.75/x
  3. Step 3: Cross multiply
    382,092.75x = 809,664.75 × 809,664.75
  4. Step 4: Simplify right side
    382,092.75x = 655,557,007,392.56
  5. Step 5: Solve for x
    x = 655,557,007,392.56/382,092.75
  6. Step 6: Final answer
    x = 1,715,701.25

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Why These Related Problems?

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