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Finding the Third Proportional to 264,108 and 580,704

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Solution

The third proportional to 264,108 and 580,704 is: 1,276,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,108 : 580,704 = 580,704 : x
  2. Step 2: Convert to fraction form
    264,108/580,704 = 580,704/x
  3. Step 3: Cross multiply
    264,108x = 580,704 × 580,704
  4. Step 4: Simplify right side
    264,108x = 337,217,135,616
  5. Step 5: Solve for x
    x = 337,217,135,616/264,108
  6. Step 6: Final answer
    x = 1,276,815.30

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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.