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Finding the Third Proportional to 279,840 and 599,568

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Solution

The third proportional to 279,840 and 599,568 is: 1,284,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,840 : 599,568 = 599,568 : x
  2. Step 2: Convert to fraction form
    279,840/599,568 = 599,568/x
  3. Step 3: Cross multiply
    279,840x = 599,568 × 599,568
  4. Step 4: Simplify right side
    279,840x = 359,481,786,624
  5. Step 5: Solve for x
    x = 359,481,786,624/279,840
  6. Step 6: Final answer
    x = 1,284,597.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.