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Finding the Third Proportional to 365,529 and 815,103

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Solution

The third proportional to 365,529 and 815,103 is: 1,817,620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,529 : 815,103 = 815,103 : x
  2. Step 2: Convert to fraction form
    365,529/815,103 = 815,103/x
  3. Step 3: Cross multiply
    365,529x = 815,103 × 815,103
  4. Step 4: Simplify right side
    365,529x = 664,392,900,609
  5. Step 5: Solve for x
    x = 664,392,900,609/365,529
  6. Step 6: Final answer
    x = 1,817,620.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.