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Finding the Third Proportional to 394,987.50 and 564,441.75

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Solution

The third proportional to 394,987.50 and 564,441.75 is: 806,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,987.50 : 564,441.75 = 564,441.75 : x
  2. Step 2: Convert to fraction form
    394,987.50/564,441.75 = 564,441.75/x
  3. Step 3: Cross multiply
    394,987.50x = 564,441.75 × 564,441.75
  4. Step 4: Simplify right side
    394,987.50x = 318,594,489,143.06
  5. Step 5: Solve for x
    x = 318,594,489,143.06/394,987.50
  6. Step 6: Final answer
    x = 806,593.85

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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.