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Finding the Third Proportional to 254,277 and 534,738

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Solution

The third proportional to 254,277 and 534,738 is: 1,124,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,277 : 534,738 = 534,738 : x
  2. Step 2: Convert to fraction form
    254,277/534,738 = 534,738/x
  3. Step 3: Cross multiply
    254,277x = 534,738 × 534,738
  4. Step 4: Simplify right side
    254,277x = 285,944,728,644
  5. Step 5: Solve for x
    x = 285,944,728,644/254,277
  6. Step 6: Final answer
    x = 1,124,540.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.