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Finding the Third Proportional to 444,074 and 677,235

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Solution

The third proportional to 444,074 and 677,235 is: 1,032,817.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,074 : 677,235 = 677,235 : x
  2. Step 2: Convert to fraction form
    444,074/677,235 = 677,235/x
  3. Step 3: Cross multiply
    444,074x = 677,235 × 677,235
  4. Step 4: Simplify right side
    444,074x = 458,647,245,225
  5. Step 5: Solve for x
    x = 458,647,245,225/444,074
  6. Step 6: Final answer
    x = 1,032,817.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.