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Finding the Third Proportional to 444,138 and 677,250

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Solution

The third proportional to 444,138 and 677,250 is: 1,032,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,138 : 677,250 = 677,250 : x
  2. Step 2: Convert to fraction form
    444,138/677,250 = 677,250/x
  3. Step 3: Cross multiply
    444,138x = 677,250 × 677,250
  4. Step 4: Simplify right side
    444,138x = 458,667,562,500
  5. Step 5: Solve for x
    x = 458,667,562,500/444,138
  6. Step 6: Final answer
    x = 1,032,714.07

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Why These Related Problems?

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