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Finding the Third Proportional to 324,016 and 436,186

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Solution

The third proportional to 324,016 and 436,186 is: 587,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,016 : 436,186 = 436,186 : x
  2. Step 2: Convert to fraction form
    324,016/436,186 = 436,186/x
  3. Step 3: Cross multiply
    324,016x = 436,186 × 436,186
  4. Step 4: Simplify right side
    324,016x = 190,258,226,596
  5. Step 5: Solve for x
    x = 190,258,226,596/324,016
  6. Step 6: Final answer
    x = 587,187.75

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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.