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Finding the Third Proportional to 314,161 and 444,177

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Solution

The third proportional to 314,161 and 444,177 is: 628,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,161 : 444,177 = 444,177 : x
  2. Step 2: Convert to fraction form
    314,161/444,177 = 444,177/x
  3. Step 3: Cross multiply
    314,161x = 444,177 × 444,177
  4. Step 4: Simplify right side
    314,161x = 197,293,207,329
  5. Step 5: Solve for x
    x = 197,293,207,329/314,161
  6. Step 6: Final answer
    x = 628,000.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.