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Finding the Third Proportional to 227,472.38 and 356,806.31

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Solution

The third proportional to 227,472.38 and 356,806.31 is: 559,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,472.38 : 356,806.31 = 356,806.31 : x
  2. Step 2: Convert to fraction form
    227,472.38/356,806.31 = 356,806.31/x
  3. Step 3: Cross multiply
    227,472.38x = 356,806.31 × 356,806.31
  4. Step 4: Simplify right side
    227,472.38x = 127,310,744,639.85
  5. Step 5: Solve for x
    x = 127,310,744,639.85/227,472.38
  6. Step 6: Final answer
    x = 559,675.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.