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Finding the Third Proportional to 444,450 and 677,610

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Solution

The third proportional to 444,450 and 677,610 is: 1,033,086.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,450 : 677,610 = 677,610 : x
  2. Step 2: Convert to fraction form
    444,450/677,610 = 677,610/x
  3. Step 3: Cross multiply
    444,450x = 677,610 × 677,610
  4. Step 4: Simplify right side
    444,450x = 459,155,312,100
  5. Step 5: Solve for x
    x = 459,155,312,100/444,450
  6. Step 6: Final answer
    x = 1,033,086.54

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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.