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Finding the Third Proportional to 252,652.50 and 547,797.75

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Solution

The third proportional to 252,652.50 and 547,797.75 is: 1,187,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,652.50 : 547,797.75 = 547,797.75 : x
  2. Step 2: Convert to fraction form
    252,652.50/547,797.75 = 547,797.75/x
  3. Step 3: Cross multiply
    252,652.50x = 547,797.75 × 547,797.75
  4. Step 4: Simplify right side
    252,652.50x = 300,082,374,905.06
  5. Step 5: Solve for x
    x = 300,082,374,905.06/252,652.50
  6. Step 6: Final answer
    x = 1,187,727.71

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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.