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Finding the Third Proportional to 355,811 and 541,049

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Solution

The third proportional to 355,811 and 541,049 is: 822,723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,811 : 541,049 = 541,049 : x
  2. Step 2: Convert to fraction form
    355,811/541,049 = 541,049/x
  3. Step 3: Cross multiply
    355,811x = 541,049 × 541,049
  4. Step 4: Simplify right side
    355,811x = 292,734,020,401
  5. Step 5: Solve for x
    x = 292,734,020,401/355,811
  6. Step 6: Final answer
    x = 822,723.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.