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Finding the Third Proportional to 394,015.50 and 576,972

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Solution

The third proportional to 394,015.50 and 576,972 is: 844,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,015.50 : 576,972 = 576,972 : x
  2. Step 2: Convert to fraction form
    394,015.50/576,972 = 576,972/x
  3. Step 3: Cross multiply
    394,015.50x = 576,972 × 576,972
  4. Step 4: Simplify right side
    394,015.50x = 332,896,688,784
  5. Step 5: Solve for x
    x = 332,896,688,784/394,015.50
  6. Step 6: Final answer
    x = 844,882.22

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.