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Finding the Third Proportional to 278,802 and 593,568

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Solution

The third proportional to 278,802 and 593,568 is: 1,263,703.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,802 : 593,568 = 593,568 : x
  2. Step 2: Convert to fraction form
    278,802/593,568 = 593,568/x
  3. Step 3: Cross multiply
    278,802x = 593,568 × 593,568
  4. Step 4: Simplify right side
    278,802x = 352,322,970,624
  5. Step 5: Solve for x
    x = 352,322,970,624/278,802
  6. Step 6: Final answer
    x = 1,263,703.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.