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Finding the Third Proportional to 367,524 and 809,544

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Solution

The third proportional to 367,524 and 809,544 is: 1,783,180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,524 : 809,544 = 809,544 : x
  2. Step 2: Convert to fraction form
    367,524/809,544 = 809,544/x
  3. Step 3: Cross multiply
    367,524x = 809,544 × 809,544
  4. Step 4: Simplify right side
    367,524x = 655,361,487,936
  5. Step 5: Solve for x
    x = 655,361,487,936/367,524
  6. Step 6: Final answer
    x = 1,783,180.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.