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Finding the Third Proportional to 397,236.66 and 815,401.69

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Solution

The third proportional to 397,236.66 and 815,401.69 is: 1,673,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,236.66 : 815,401.69 = 815,401.69 : x
  2. Step 2: Convert to fraction form
    397,236.66/815,401.69 = 815,401.69/x
  3. Step 3: Cross multiply
    397,236.66x = 815,401.69 × 815,401.69
  4. Step 4: Simplify right side
    397,236.66x = 664,879,911,977.85
  5. Step 5: Solve for x
    x = 664,879,911,977.85/397,236.66
  6. Step 6: Final answer
    x = 1,673,762.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.