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Finding the Third Proportional to 512,183.25 and 737,764.88

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Solution

The third proportional to 512,183.25 and 737,764.88 is: 1,062,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,183.25 : 737,764.88 = 737,764.88 : x
  2. Step 2: Convert to fraction form
    512,183.25/737,764.88 = 737,764.88/x
  3. Step 3: Cross multiply
    512,183.25x = 737,764.88 × 737,764.88
  4. Step 4: Simplify right side
    512,183.25x = 544,297,010,783.77
  5. Step 5: Solve for x
    x = 544,297,010,783.77/512,183.25
  6. Step 6: Final answer
    x = 1,062,699.75

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.