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Finding the Third Proportional to 279,496 and 603,266

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Solution

The third proportional to 279,496 and 603,266 is: 1,302,093.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,496 : 603,266 = 603,266 : x
  2. Step 2: Convert to fraction form
    279,496/603,266 = 603,266/x
  3. Step 3: Cross multiply
    279,496x = 603,266 × 603,266
  4. Step 4: Simplify right side
    279,496x = 363,929,866,756
  5. Step 5: Solve for x
    x = 363,929,866,756/279,496
  6. Step 6: Final answer
    x = 1,302,093.29

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Why These Related Problems?

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