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Finding the Third Proportional to 267,879 and 589,326

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Solution

The third proportional to 267,879 and 589,326 is: 1,296,500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,879 : 589,326 = 589,326 : x
  2. Step 2: Convert to fraction form
    267,879/589,326 = 589,326/x
  3. Step 3: Cross multiply
    267,879x = 589,326 × 589,326
  4. Step 4: Simplify right side
    267,879x = 347,305,134,276
  5. Step 5: Solve for x
    x = 347,305,134,276/267,879
  6. Step 6: Final answer
    x = 1,296,500.04

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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.