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Finding the Third Proportional to 263,786 and 584,500

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Solution

The third proportional to 263,786 and 584,500 is: 1,295,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,786 : 584,500 = 584,500 : x
  2. Step 2: Convert to fraction form
    263,786/584,500 = 584,500/x
  3. Step 3: Cross multiply
    263,786x = 584,500 × 584,500
  4. Step 4: Simplify right side
    263,786x = 341,640,250,000
  5. Step 5: Solve for x
    x = 341,640,250,000/263,786
  6. Step 6: Final answer
    x = 1,295,141.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.