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Finding the Third Proportional to 253,728 and 557,676

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Solution

The third proportional to 253,728 and 557,676 is: 1,225,731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,728 : 557,676 = 557,676 : x
  2. Step 2: Convert to fraction form
    253,728/557,676 = 557,676/x
  3. Step 3: Cross multiply
    253,728x = 557,676 × 557,676
  4. Step 4: Simplify right side
    253,728x = 311,002,520,976
  5. Step 5: Solve for x
    x = 311,002,520,976/253,728
  6. Step 6: Final answer
    x = 1,225,731.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.