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Finding the Third Proportional to 303,933 and 661,381.50

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Solution

The third proportional to 303,933 and 661,381.50 is: 1,439,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,933 : 661,381.50 = 661,381.50 : x
  2. Step 2: Convert to fraction form
    303,933/661,381.50 = 661,381.50/x
  3. Step 3: Cross multiply
    303,933x = 661,381.50 × 661,381.50
  4. Step 4: Simplify right side
    303,933x = 437,425,488,542.25
  5. Step 5: Solve for x
    x = 437,425,488,542.25/303,933
  6. Step 6: Final answer
    x = 1,439,216.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.