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Finding the Third Proportional to 444,102 and 677,205

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Solution

The third proportional to 444,102 and 677,205 is: 1,032,660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,102 : 677,205 = 677,205 : x
  2. Step 2: Convert to fraction form
    444,102/677,205 = 677,205/x
  3. Step 3: Cross multiply
    444,102x = 677,205 × 677,205
  4. Step 4: Simplify right side
    444,102x = 458,606,612,025
  5. Step 5: Solve for x
    x = 458,606,612,025/444,102
  6. Step 6: Final answer
    x = 1,032,660.54

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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.