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Finding the Third Proportional to 257,986 and 547,193

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Solution

The third proportional to 257,986 and 547,193 is: 1,160,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,986 : 547,193 = 547,193 : x
  2. Step 2: Convert to fraction form
    257,986/547,193 = 547,193/x
  3. Step 3: Cross multiply
    257,986x = 547,193 × 547,193
  4. Step 4: Simplify right side
    257,986x = 299,420,179,249
  5. Step 5: Solve for x
    x = 299,420,179,249/257,986
  6. Step 6: Final answer
    x = 1,160,606.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.