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Finding the Third Proportional to 230,213.81 and 542,679.75

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Solution

The third proportional to 230,213.81 and 542,679.75 is: 1,279,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,213.81 : 542,679.75 = 542,679.75 : x
  2. Step 2: Convert to fraction form
    230,213.81/542,679.75 = 542,679.75/x
  3. Step 3: Cross multiply
    230,213.81x = 542,679.75 × 542,679.75
  4. Step 4: Simplify right side
    230,213.81x = 294,501,311,060.06
  5. Step 5: Solve for x
    x = 294,501,311,060.06/230,213.81
  6. Step 6: Final answer
    x = 1,279,251.27

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.