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Finding the Third Proportional to 253,837.50 and 541,449.75

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Solution

The third proportional to 253,837.50 and 541,449.75 is: 1,154,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,837.50 : 541,449.75 = 541,449.75 : x
  2. Step 2: Convert to fraction form
    253,837.50/541,449.75 = 541,449.75/x
  3. Step 3: Cross multiply
    253,837.50x = 541,449.75 × 541,449.75
  4. Step 4: Simplify right side
    253,837.50x = 293,167,831,775.06
  5. Step 5: Solve for x
    x = 293,167,831,775.06/253,837.50
  6. Step 6: Final answer
    x = 1,154,942.95

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.