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Finding the Third Proportional to 252,468 and 547,853.25

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Solution

The third proportional to 252,468 and 547,853.25 is: 1,188,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,468 : 547,853.25 = 547,853.25 : x
  2. Step 2: Convert to fraction form
    252,468/547,853.25 = 547,853.25/x
  3. Step 3: Cross multiply
    252,468x = 547,853.25 × 547,853.25
  4. Step 4: Simplify right side
    252,468x = 300,143,183,535.56
  5. Step 5: Solve for x
    x = 300,143,183,535.56/252,468
  6. Step 6: Final answer
    x = 1,188,836.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.