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Finding the Third Proportional to 444,046.50 and 677,121.75

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Solution

The third proportional to 444,046.50 and 677,121.75 is: 1,032,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,046.50 : 677,121.75 = 677,121.75 : x
  2. Step 2: Convert to fraction form
    444,046.50/677,121.75 = 677,121.75/x
  3. Step 3: Cross multiply
    444,046.50x = 677,121.75 × 677,121.75
  4. Step 4: Simplify right side
    444,046.50x = 458,493,864,323.06
  5. Step 5: Solve for x
    x = 458,493,864,323.06/444,046.50
  6. Step 6: Final answer
    x = 1,032,535.70

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.