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Finding the Third Proportional to 257,716.69 and 394,228.69

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Solution

The third proportional to 257,716.69 and 394,228.69 is: 603,050.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,716.69 : 394,228.69 = 394,228.69 : x
  2. Step 2: Convert to fraction form
    257,716.69/394,228.69 = 394,228.69/x
  3. Step 3: Cross multiply
    257,716.69x = 394,228.69 × 394,228.69
  4. Step 4: Simplify right side
    257,716.69x = 155,416,258,047.97
  5. Step 5: Solve for x
    x = 155,416,258,047.97/257,716.69
  6. Step 6: Final answer
    x = 603,050.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.