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Finding the Third Proportional to 324,954 and 502,182

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Solution

The third proportional to 324,954 and 502,182 is: 776,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,954 : 502,182 = 502,182 : x
  2. Step 2: Convert to fraction form
    324,954/502,182 = 502,182/x
  3. Step 3: Cross multiply
    324,954x = 502,182 × 502,182
  4. Step 4: Simplify right side
    324,954x = 252,186,761,124
  5. Step 5: Solve for x
    x = 252,186,761,124/324,954
  6. Step 6: Final answer
    x = 776,069.11

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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.