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Finding the Third Proportional to 279,512 and 603,286

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Solution

The third proportional to 279,512 and 603,286 is: 1,302,105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,512 : 603,286 = 603,286 : x
  2. Step 2: Convert to fraction form
    279,512/603,286 = 603,286/x
  3. Step 3: Cross multiply
    279,512x = 603,286 × 603,286
  4. Step 4: Simplify right side
    279,512x = 363,953,997,796
  5. Step 5: Solve for x
    x = 363,953,997,796/279,512
  6. Step 6: Final answer
    x = 1,302,105.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.