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Finding the Third Proportional to 269,879 and 592,246

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Solution

The third proportional to 269,879 and 592,246 is: 1,299,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,879 : 592,246 = 592,246 : x
  2. Step 2: Convert to fraction form
    269,879/592,246 = 592,246/x
  3. Step 3: Cross multiply
    269,879x = 592,246 × 592,246
  4. Step 4: Simplify right side
    269,879x = 350,755,324,516
  5. Step 5: Solve for x
    x = 350,755,324,516/269,879
  6. Step 6: Final answer
    x = 1,299,676.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.