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Finding the Third Proportional to 254,041 and 389,846

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Solution

The third proportional to 254,041 and 389,846 is: 598,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,041 : 389,846 = 389,846 : x
  2. Step 2: Convert to fraction form
    254,041/389,846 = 389,846/x
  3. Step 3: Cross multiply
    254,041x = 389,846 × 389,846
  4. Step 4: Simplify right side
    254,041x = 151,979,903,716
  5. Step 5: Solve for x
    x = 151,979,903,716/254,041
  6. Step 6: Final answer
    x = 598,249.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.