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Finding the Third Proportional to 354,597.75 and 768,183.75

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Solution

The third proportional to 354,597.75 and 768,183.75 is: 1,664,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,597.75 : 768,183.75 = 768,183.75 : x
  2. Step 2: Convert to fraction form
    354,597.75/768,183.75 = 768,183.75/x
  3. Step 3: Cross multiply
    354,597.75x = 768,183.75 × 768,183.75
  4. Step 4: Simplify right side
    354,597.75x = 590,106,273,764.06
  5. Step 5: Solve for x
    x = 590,106,273,764.06/354,597.75
  6. Step 6: Final answer
    x = 1,664,156.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.