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Finding the Third Proportional to 230,713.50 and 506,791.50

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Solution

The third proportional to 230,713.50 and 506,791.50 is: 1,113,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,713.50 : 506,791.50 = 506,791.50 : x
  2. Step 2: Convert to fraction form
    230,713.50/506,791.50 = 506,791.50/x
  3. Step 3: Cross multiply
    230,713.50x = 506,791.50 × 506,791.50
  4. Step 4: Simplify right side
    230,713.50x = 256,837,624,472.25
  5. Step 5: Solve for x
    x = 256,837,624,472.25/230,713.50
  6. Step 6: Final answer
    x = 1,113,231.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.