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Finding the Third Proportional to 230,076.86 and 494,308.04

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Solution

The third proportional to 230,076.86 and 494,308.04 is: 1,061,994.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,076.86 : 494,308.04 = 494,308.04 : x
  2. Step 2: Convert to fraction form
    230,076.86/494,308.04 = 494,308.04/x
  3. Step 3: Cross multiply
    230,076.86x = 494,308.04 × 494,308.04
  4. Step 4: Simplify right side
    230,076.86x = 244,340,435,550.93
  5. Step 5: Solve for x
    x = 244,340,435,550.93/230,076.86
  6. Step 6: Final answer
    x = 1,061,994.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.