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Finding the Third Proportional to 277,279 and 567,669

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Solution

The third proportional to 277,279 and 567,669 is: 1,162,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,279 : 567,669 = 567,669 : x
  2. Step 2: Convert to fraction form
    277,279/567,669 = 567,669/x
  3. Step 3: Cross multiply
    277,279x = 567,669 × 567,669
  4. Step 4: Simplify right side
    277,279x = 322,248,093,561
  5. Step 5: Solve for x
    x = 322,248,093,561/277,279
  6. Step 6: Final answer
    x = 1,162,179.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.