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Finding the Third Proportional to 394,024.50 and 576,981.56

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Solution

The third proportional to 394,024.50 and 576,981.56 is: 844,890.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,024.50 : 576,981.56 = 576,981.56 : x
  2. Step 2: Convert to fraction form
    394,024.50/576,981.56 = 576,981.56/x
  3. Step 3: Cross multiply
    394,024.50x = 576,981.56 × 576,981.56
  4. Step 4: Simplify right side
    394,024.50x = 332,907,723,464.94
  5. Step 5: Solve for x
    x = 332,907,723,464.94/394,024.50
  6. Step 6: Final answer
    x = 844,890.92

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Why These Related Problems?

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