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Finding the Third Proportional to 445,803.75 and 677,220.75

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Solution

The third proportional to 445,803.75 and 677,220.75 is: 1,028,766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,803.75 : 677,220.75 = 677,220.75 : x
  2. Step 2: Convert to fraction form
    445,803.75/677,220.75 = 677,220.75/x
  3. Step 3: Cross multiply
    445,803.75x = 677,220.75 × 677,220.75
  4. Step 4: Simplify right side
    445,803.75x = 458,627,944,230.56
  5. Step 5: Solve for x
    x = 458,627,944,230.56/445,803.75
  6. Step 6: Final answer
    x = 1,028,766.46

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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.