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Finding the Third Proportional to 324,882 and 500,010

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Solution

The third proportional to 324,882 and 500,010 is: 769,540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,882 : 500,010 = 500,010 : x
  2. Step 2: Convert to fraction form
    324,882/500,010 = 500,010/x
  3. Step 3: Cross multiply
    324,882x = 500,010 × 500,010
  4. Step 4: Simplify right side
    324,882x = 250,010,000,100
  5. Step 5: Solve for x
    x = 250,010,000,100/324,882
  6. Step 6: Final answer
    x = 769,540.94

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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.