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Finding the Third Proportional to 252,885.38 and 541,751.63

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Solution

The third proportional to 252,885.38 and 541,751.63 is: 1,160,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,885.38 : 541,751.63 = 541,751.63 : x
  2. Step 2: Convert to fraction form
    252,885.38/541,751.63 = 541,751.63/x
  3. Step 3: Cross multiply
    252,885.38x = 541,751.63 × 541,751.63
  4. Step 4: Simplify right side
    252,885.38x = 293,494,823,190.14
  5. Step 5: Solve for x
    x = 293,494,823,190.14/252,885.38
  6. Step 6: Final answer
    x = 1,160,584.41

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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.