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Finding the Third Proportional to 269,848 and 580,516

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Solution

The third proportional to 269,848 and 580,516 is: 1,248,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,848 : 580,516 = 580,516 : x
  2. Step 2: Convert to fraction form
    269,848/580,516 = 580,516/x
  3. Step 3: Cross multiply
    269,848x = 580,516 × 580,516
  4. Step 4: Simplify right side
    269,848x = 336,998,826,256
  5. Step 5: Solve for x
    x = 336,998,826,256/269,848
  6. Step 6: Final answer
    x = 1,248,846.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.