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Finding the Third Proportional to 394,078.50 and 611,448.75

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Solution

The third proportional to 394,078.50 and 611,448.75 is: 948,718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,078.50 : 611,448.75 = 611,448.75 : x
  2. Step 2: Convert to fraction form
    394,078.50/611,448.75 = 611,448.75/x
  3. Step 3: Cross multiply
    394,078.50x = 611,448.75 × 611,448.75
  4. Step 4: Simplify right side
    394,078.50x = 373,869,573,876.56
  5. Step 5: Solve for x
    x = 373,869,573,876.56/394,078.50
  6. Step 6: Final answer
    x = 948,718.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.