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Finding the Third Proportional to 363,150 and 795,204

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Solution

The third proportional to 363,150 and 795,204 is: 1,741,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,150 : 795,204 = 795,204 : x
  2. Step 2: Convert to fraction form
    363,150/795,204 = 795,204/x
  3. Step 3: Cross multiply
    363,150x = 795,204 × 795,204
  4. Step 4: Simplify right side
    363,150x = 632,349,401,616
  5. Step 5: Solve for x
    x = 632,349,401,616/363,150
  6. Step 6: Final answer
    x = 1,741,289.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.