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Finding the Third Proportional to 259,472 and 557,744

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Solution

The third proportional to 259,472 and 557,744 is: 1,198,889.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,472 : 557,744 = 557,744 : x
  2. Step 2: Convert to fraction form
    259,472/557,744 = 557,744/x
  3. Step 3: Cross multiply
    259,472x = 557,744 × 557,744
  4. Step 4: Simplify right side
    259,472x = 311,078,369,536
  5. Step 5: Solve for x
    x = 311,078,369,536/259,472
  6. Step 6: Final answer
    x = 1,198,889.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.