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Finding the Third Proportional to 360,904 and 793,568

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Solution

The third proportional to 360,904 and 793,568 is: 1,744,924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,904 : 793,568 = 793,568 : x
  2. Step 2: Convert to fraction form
    360,904/793,568 = 793,568/x
  3. Step 3: Cross multiply
    360,904x = 793,568 × 793,568
  4. Step 4: Simplify right side
    360,904x = 629,750,170,624
  5. Step 5: Solve for x
    x = 629,750,170,624/360,904
  6. Step 6: Final answer
    x = 1,744,924.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.