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Finding the Third Proportional to 266,193 and 576,648

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Solution

The third proportional to 266,193 and 576,648 is: 1,249,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,193 : 576,648 = 576,648 : x
  2. Step 2: Convert to fraction form
    266,193/576,648 = 576,648/x
  3. Step 3: Cross multiply
    266,193x = 576,648 × 576,648
  4. Step 4: Simplify right side
    266,193x = 332,522,915,904
  5. Step 5: Solve for x
    x = 332,522,915,904/266,193
  6. Step 6: Final answer
    x = 1,249,179.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.