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Finding the Third Proportional to 282,403.97 and 394,996.50

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Solution

The third proportional to 282,403.97 and 394,996.50 is: 552,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,403.97 : 394,996.50 = 394,996.50 : x
  2. Step 2: Convert to fraction form
    282,403.97/394,996.50 = 394,996.50/x
  3. Step 3: Cross multiply
    282,403.97x = 394,996.50 × 394,996.50
  4. Step 4: Simplify right side
    282,403.97x = 156,022,235,012.25
  5. Step 5: Solve for x
    x = 156,022,235,012.25/282,403.97
  6. Step 6: Final answer
    x = 552,478.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.