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Finding the Third Proportional to 263,061 and 579,744

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Solution

The third proportional to 263,061 and 579,744 is: 1,277,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,061 : 579,744 = 579,744 : x
  2. Step 2: Convert to fraction form
    263,061/579,744 = 579,744/x
  3. Step 3: Cross multiply
    263,061x = 579,744 × 579,744
  4. Step 4: Simplify right side
    263,061x = 336,103,105,536
  5. Step 5: Solve for x
    x = 336,103,105,536/263,061
  6. Step 6: Final answer
    x = 1,277,662.24

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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.