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Finding the Third Proportional to 303,933.50 and 661,383

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Solution

The third proportional to 303,933.50 and 661,383 is: 1,439,220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,933.50 : 661,383 = 661,383 : x
  2. Step 2: Convert to fraction form
    303,933.50/661,383 = 661,383/x
  3. Step 3: Cross multiply
    303,933.50x = 661,383 × 661,383
  4. Step 4: Simplify right side
    303,933.50x = 437,427,472,689
  5. Step 5: Solve for x
    x = 437,427,472,689/303,933.50
  6. Step 6: Final answer
    x = 1,439,220.99

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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.