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Finding the Third Proportional to 279,514 and 603,288

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Solution

The third proportional to 279,514 and 603,288 is: 1,302,104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,514 : 603,288 = 603,288 : x
  2. Step 2: Convert to fraction form
    279,514/603,288 = 603,288/x
  3. Step 3: Cross multiply
    279,514x = 603,288 × 603,288
  4. Step 4: Simplify right side
    279,514x = 363,956,410,944
  5. Step 5: Solve for x
    x = 363,956,410,944/279,514
  6. Step 6: Final answer
    x = 1,302,104.41

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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.