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Finding the Third Proportional to 324,523.13 and 503,796.38

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Solution

The third proportional to 324,523.13 and 503,796.38 is: 782,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,523.13 : 503,796.38 = 503,796.38 : x
  2. Step 2: Convert to fraction form
    324,523.13/503,796.38 = 503,796.38/x
  3. Step 3: Cross multiply
    324,523.13x = 503,796.38 × 503,796.38
  4. Step 4: Simplify right side
    324,523.13x = 253,810,787,463.14
  5. Step 5: Solve for x
    x = 253,810,787,463.14/324,523.13
  6. Step 6: Final answer
    x = 782,103.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.