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Finding the Third Proportional to 355,524.19 and 768,183.75

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Solution

The third proportional to 355,524.19 and 768,183.75 is: 1,659,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,524.19 : 768,183.75 = 768,183.75 : x
  2. Step 2: Convert to fraction form
    355,524.19/768,183.75 = 768,183.75/x
  3. Step 3: Cross multiply
    355,524.19x = 768,183.75 × 768,183.75
  4. Step 4: Simplify right side
    355,524.19x = 590,106,273,764.06
  5. Step 5: Solve for x
    x = 590,106,273,764.06/355,524.19
  6. Step 6: Final answer
    x = 1,659,820.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.