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Finding the Third Proportional to 264,288 and 580,848

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Solution

The third proportional to 264,288 and 580,848 is: 1,276,578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,288 : 580,848 = 580,848 : x
  2. Step 2: Convert to fraction form
    264,288/580,848 = 580,848/x
  3. Step 3: Cross multiply
    264,288x = 580,848 × 580,848
  4. Step 4: Simplify right side
    264,288x = 337,384,399,104
  5. Step 5: Solve for x
    x = 337,384,399,104/264,288
  6. Step 6: Final answer
    x = 1,276,578.58

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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.