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Finding the Third Proportional to 324,888 and 500,016

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Solution

The third proportional to 324,888 and 500,016 is: 769,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,888 : 500,016 = 500,016 : x
  2. Step 2: Convert to fraction form
    324,888/500,016 = 500,016/x
  3. Step 3: Cross multiply
    324,888x = 500,016 × 500,016
  4. Step 4: Simplify right side
    324,888x = 250,016,000,256
  5. Step 5: Solve for x
    x = 250,016,000,256/324,888
  6. Step 6: Final answer
    x = 769,545.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.