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Finding the Third Proportional to 324,008 and 436,177

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Solution

The third proportional to 324,008 and 436,177 is: 587,178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,008 : 436,177 = 436,177 : x
  2. Step 2: Convert to fraction form
    324,008/436,177 = 436,177/x
  3. Step 3: Cross multiply
    324,008x = 436,177 × 436,177
  4. Step 4: Simplify right side
    324,008x = 190,250,375,329
  5. Step 5: Solve for x
    x = 190,250,375,329/324,008
  6. Step 6: Final answer
    x = 587,178.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.