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Finding the Third Proportional to 324,965 and 502,199

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Solution

The third proportional to 324,965 and 502,199 is: 776,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,965 : 502,199 = 502,199 : x
  2. Step 2: Convert to fraction form
    324,965/502,199 = 502,199/x
  3. Step 3: Cross multiply
    324,965x = 502,199 × 502,199
  4. Step 4: Simplify right side
    324,965x = 252,203,835,601
  5. Step 5: Solve for x
    x = 252,203,835,601/324,965
  6. Step 6: Final answer
    x = 776,095.38

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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.