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Finding the Third Proportional to 263,072 and 579,766

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Solution

The third proportional to 263,072 and 579,766 is: 1,277,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,072 : 579,766 = 579,766 : x
  2. Step 2: Convert to fraction form
    263,072/579,766 = 579,766/x
  3. Step 3: Cross multiply
    263,072x = 579,766 × 579,766
  4. Step 4: Simplify right side
    263,072x = 336,128,614,756
  5. Step 5: Solve for x
    x = 336,128,614,756/263,072
  6. Step 6: Final answer
    x = 1,277,705.78

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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.