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Finding the Third Proportional to 394,870.50 and 577,494

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Solution

The third proportional to 394,870.50 and 577,494 is: 844,578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,870.50 : 577,494 = 577,494 : x
  2. Step 2: Convert to fraction form
    394,870.50/577,494 = 577,494/x
  3. Step 3: Cross multiply
    394,870.50x = 577,494 × 577,494
  4. Step 4: Simplify right side
    394,870.50x = 333,499,320,036
  5. Step 5: Solve for x
    x = 333,499,320,036/394,870.50
  6. Step 6: Final answer
    x = 844,578.97

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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.