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Finding the Third Proportional to 263,612 and 579,704

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Solution

The third proportional to 263,612 and 579,704 is: 1,274,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,612 : 579,704 = 579,704 : x
  2. Step 2: Convert to fraction form
    263,612/579,704 = 579,704/x
  3. Step 3: Cross multiply
    263,612x = 579,704 × 579,704
  4. Step 4: Simplify right side
    263,612x = 336,056,727,616
  5. Step 5: Solve for x
    x = 336,056,727,616/263,612
  6. Step 6: Final answer
    x = 1,274,815.74

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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.