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Finding the Third Proportional to 444,019.50 and 670,025.25

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Solution

The third proportional to 444,019.50 and 670,025.25 is: 1,011,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,019.50 : 670,025.25 = 670,025.25 : x
  2. Step 2: Convert to fraction form
    444,019.50/670,025.25 = 670,025.25/x
  3. Step 3: Cross multiply
    444,019.50x = 670,025.25 × 670,025.25
  4. Step 4: Simplify right side
    444,019.50x = 448,933,835,637.56
  5. Step 5: Solve for x
    x = 448,933,835,637.56/444,019.50
  6. Step 6: Final answer
    x = 1,011,067.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.