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Finding the Third Proportional to 383,943.25 and 833,150.75

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Solution

The third proportional to 383,943.25 and 833,150.75 is: 1,807,923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,943.25 : 833,150.75 = 833,150.75 : x
  2. Step 2: Convert to fraction form
    383,943.25/833,150.75 = 833,150.75/x
  3. Step 3: Cross multiply
    383,943.25x = 833,150.75 × 833,150.75
  4. Step 4: Simplify right side
    383,943.25x = 694,140,172,225.56
  5. Step 5: Solve for x
    x = 694,140,172,225.56/383,943.25
  6. Step 6: Final answer
    x = 1,807,923.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.