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Finding the Third Proportional to 351,163.69 and 755,589.94

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Solution

The third proportional to 351,163.69 and 755,589.94 is: 1,625,783.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,163.69 : 755,589.94 = 755,589.94 : x
  2. Step 2: Convert to fraction form
    351,163.69/755,589.94 = 755,589.94/x
  3. Step 3: Cross multiply
    351,163.69x = 755,589.94 × 755,589.94
  4. Step 4: Simplify right side
    351,163.69x = 570,916,153,651.25
  5. Step 5: Solve for x
    x = 570,916,153,651.25/351,163.69
  6. Step 6: Final answer
    x = 1,625,783.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.