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Finding the Third Proportional to 230,976.56 and 493,872.19

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Solution

The third proportional to 230,976.56 and 493,872.19 is: 1,055,993.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,976.56 : 493,872.19 = 493,872.19 : x
  2. Step 2: Convert to fraction form
    230,976.56/493,872.19 = 493,872.19/x
  3. Step 3: Cross multiply
    230,976.56x = 493,872.19 × 493,872.19
  4. Step 4: Simplify right side
    230,976.56x = 243,909,737,586.04
  5. Step 5: Solve for x
    x = 243,909,737,586.04/230,976.56
  6. Step 6: Final answer
    x = 1,055,993.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.