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Finding the Third Proportional to 252,028.97 and 544,163.06

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Solution

The third proportional to 252,028.97 and 544,163.06 is: 1,174,918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,028.97 : 544,163.06 = 544,163.06 : x
  2. Step 2: Convert to fraction form
    252,028.97/544,163.06 = 544,163.06/x
  3. Step 3: Cross multiply
    252,028.97x = 544,163.06 × 544,163.06
  4. Step 4: Simplify right side
    252,028.97x = 296,113,438,589.38
  5. Step 5: Solve for x
    x = 296,113,438,589.38/252,028.97
  6. Step 6: Final answer
    x = 1,174,918.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.