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Finding the Third Proportional to 303,238.50 and 475,634.25

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Solution

The third proportional to 303,238.50 and 475,634.25 is: 746,039.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,238.50 : 475,634.25 = 475,634.25 : x
  2. Step 2: Convert to fraction form
    303,238.50/475,634.25 = 475,634.25/x
  3. Step 3: Cross multiply
    303,238.50x = 475,634.25 × 475,634.25
  4. Step 4: Simplify right side
    303,238.50x = 226,227,939,773.06
  5. Step 5: Solve for x
    x = 226,227,939,773.06/303,238.50
  6. Step 6: Final answer
    x = 746,039.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.