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Finding the Third Proportional to 264,612 and 576,744

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Solution

The third proportional to 264,612 and 576,744 is: 1,257,061.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,612 : 576,744 = 576,744 : x
  2. Step 2: Convert to fraction form
    264,612/576,744 = 576,744/x
  3. Step 3: Cross multiply
    264,612x = 576,744 × 576,744
  4. Step 4: Simplify right side
    264,612x = 332,633,641,536
  5. Step 5: Solve for x
    x = 332,633,641,536/264,612
  6. Step 6: Final answer
    x = 1,257,061.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.