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Finding the Third Proportional to 252,904.50 and 541,682.25

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Solution

The third proportional to 252,904.50 and 541,682.25 is: 1,160,199.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,904.50 : 541,682.25 = 541,682.25 : x
  2. Step 2: Convert to fraction form
    252,904.50/541,682.25 = 541,682.25/x
  3. Step 3: Cross multiply
    252,904.50x = 541,682.25 × 541,682.25
  4. Step 4: Simplify right side
    252,904.50x = 293,419,659,965.06
  5. Step 5: Solve for x
    x = 293,419,659,965.06/252,904.50
  6. Step 6: Final answer
    x = 1,160,199.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.