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Finding the Third Proportional to 270,954 and 593,568

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Solution

The third proportional to 270,954 and 593,568 is: 1,300,305.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,954 : 593,568 = 593,568 : x
  2. Step 2: Convert to fraction form
    270,954/593,568 = 593,568/x
  3. Step 3: Cross multiply
    270,954x = 593,568 × 593,568
  4. Step 4: Simplify right side
    270,954x = 352,322,970,624
  5. Step 5: Solve for x
    x = 352,322,970,624/270,954
  6. Step 6: Final answer
    x = 1,300,305.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.