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Finding the Third Proportional to 277,563 and 576,941

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Solution

The third proportional to 277,563 and 576,941 is: 1,199,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,563 : 576,941 = 576,941 : x
  2. Step 2: Convert to fraction form
    277,563/576,941 = 576,941/x
  3. Step 3: Cross multiply
    277,563x = 576,941 × 576,941
  4. Step 4: Simplify right side
    277,563x = 332,860,917,481
  5. Step 5: Solve for x
    x = 332,860,917,481/277,563
  6. Step 6: Final answer
    x = 1,199,226.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.