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Finding the Third Proportional to 273,024 and 567,846

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Solution

The third proportional to 273,024 and 567,846 is: 1,181,028.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,024 : 567,846 = 567,846 : x
  2. Step 2: Convert to fraction form
    273,024/567,846 = 567,846/x
  3. Step 3: Cross multiply
    273,024x = 567,846 × 567,846
  4. Step 4: Simplify right side
    273,024x = 322,449,079,716
  5. Step 5: Solve for x
    x = 322,449,079,716/273,024
  6. Step 6: Final answer
    x = 1,181,028.33

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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.