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Finding the Third Proportional to 252,819.56 and 541,621.69

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Solution

The third proportional to 252,819.56 and 541,621.69 is: 1,160,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,819.56 : 541,621.69 = 541,621.69 : x
  2. Step 2: Convert to fraction form
    252,819.56/541,621.69 = 541,621.69/x
  3. Step 3: Cross multiply
    252,819.56x = 541,621.69 × 541,621.69
  4. Step 4: Simplify right side
    252,819.56x = 293,354,052,370.35
  5. Step 5: Solve for x
    x = 293,354,052,370.35/252,819.56
  6. Step 6: Final answer
    x = 1,160,329.72

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Why These Related Problems?

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