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Finding the Third Proportional to 324,469.13 and 503,713.13

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Solution

The third proportional to 324,469.13 and 503,713.13 is: 781,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,469.13 : 503,713.13 = 503,713.13 : x
  2. Step 2: Convert to fraction form
    324,469.13/503,713.13 = 503,713.13/x
  3. Step 3: Cross multiply
    324,469.13x = 503,713.13 × 503,713.13
  4. Step 4: Simplify right side
    324,469.13x = 253,726,912,297.27
  5. Step 5: Solve for x
    x = 253,726,912,297.27/324,469.13
  6. Step 6: Final answer
    x = 781,975.52

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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.