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Finding the Third Proportional to 303,691.50 and 471,453.75

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Solution

The third proportional to 303,691.50 and 471,453.75 is: 731,889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,691.50 : 471,453.75 = 471,453.75 : x
  2. Step 2: Convert to fraction form
    303,691.50/471,453.75 = 471,453.75/x
  3. Step 3: Cross multiply
    303,691.50x = 471,453.75 × 471,453.75
  4. Step 4: Simplify right side
    303,691.50x = 222,268,638,389.06
  5. Step 5: Solve for x
    x = 222,268,638,389.06/303,691.50
  6. Step 6: Final answer
    x = 731,889.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.