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Finding the Third Proportional to 269,766 and 567,288

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Solution

The third proportional to 269,766 and 567,288 is: 1,192,943.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,766 : 567,288 = 567,288 : x
  2. Step 2: Convert to fraction form
    269,766/567,288 = 567,288/x
  3. Step 3: Cross multiply
    269,766x = 567,288 × 567,288
  4. Step 4: Simplify right side
    269,766x = 321,815,674,944
  5. Step 5: Solve for x
    x = 321,815,674,944/269,766
  6. Step 6: Final answer
    x = 1,192,943.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.