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Finding the Third Proportional to 324,920 and 502,132

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Solution

The third proportional to 324,920 and 502,132 is: 775,995.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,920 : 502,132 = 502,132 : x
  2. Step 2: Convert to fraction form
    324,920/502,132 = 502,132/x
  3. Step 3: Cross multiply
    324,920x = 502,132 × 502,132
  4. Step 4: Simplify right side
    324,920x = 252,136,545,424
  5. Step 5: Solve for x
    x = 252,136,545,424/324,920
  6. Step 6: Final answer
    x = 775,995.77

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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.