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Finding the Third Proportional to 394,797.75 and 562,671.75

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Solution

The third proportional to 394,797.75 and 562,671.75 is: 801,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,797.75 : 562,671.75 = 562,671.75 : x
  2. Step 2: Convert to fraction form
    394,797.75/562,671.75 = 562,671.75/x
  3. Step 3: Cross multiply
    394,797.75x = 562,671.75 × 562,671.75
  4. Step 4: Simplify right side
    394,797.75x = 316,599,498,248.06
  5. Step 5: Solve for x
    x = 316,599,498,248.06/394,797.75
  6. Step 6: Final answer
    x = 801,928.32

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.