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Finding the Third Proportional to 252,978.75 and 541,820.25

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Solution

The third proportional to 252,978.75 and 541,820.25 is: 1,160,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,978.75 : 541,820.25 = 541,820.25 : x
  2. Step 2: Convert to fraction form
    252,978.75/541,820.25 = 541,820.25/x
  3. Step 3: Cross multiply
    252,978.75x = 541,820.25 × 541,820.25
  4. Step 4: Simplify right side
    252,978.75x = 293,569,183,310.06
  5. Step 5: Solve for x
    x = 293,569,183,310.06/252,978.75
  6. Step 6: Final answer
    x = 1,160,449.97

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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.