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Finding the Third Proportional to 252,741.75 and 541,021.88

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Solution

The third proportional to 252,741.75 and 541,021.88 is: 1,158,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,741.75 : 541,021.88 = 541,021.88 : x
  2. Step 2: Convert to fraction form
    252,741.75/541,021.88 = 541,021.88/x
  3. Step 3: Cross multiply
    252,741.75x = 541,021.88 × 541,021.88
  4. Step 4: Simplify right side
    252,741.75x = 292,704,669,228.52
  5. Step 5: Solve for x
    x = 292,704,669,228.52/252,741.75
  6. Step 6: Final answer
    x = 1,158,117.60

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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.