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Finding the Third Proportional to 394,885.13 and 564,294.09

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Solution

The third proportional to 394,885.13 and 564,294.09 is: 806,380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,885.13 : 564,294.09 = 564,294.09 : x
  2. Step 2: Convert to fraction form
    394,885.13/564,294.09 = 564,294.09/x
  3. Step 3: Cross multiply
    394,885.13x = 564,294.09 × 564,294.09
  4. Step 4: Simplify right side
    394,885.13x = 318,427,824,241.13
  5. Step 5: Solve for x
    x = 318,427,824,241.13/394,885.13
  6. Step 6: Final answer
    x = 806,380.90

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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.