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Finding the Third Proportional to 324,996 and 502,245

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Solution

The third proportional to 324,996 and 502,245 is: 776,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,996 : 502,245 = 502,245 : x
  2. Step 2: Convert to fraction form
    324,996/502,245 = 502,245/x
  3. Step 3: Cross multiply
    324,996x = 502,245 × 502,245
  4. Step 4: Simplify right side
    324,996x = 252,250,040,025
  5. Step 5: Solve for x
    x = 252,250,040,025/324,996
  6. Step 6: Final answer
    x = 776,163.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.