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Finding the Third Proportional to 252,816.75 and 541,614.38

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Solution

The third proportional to 252,816.75 and 541,614.38 is: 1,160,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,816.75 : 541,614.38 = 541,614.38 : x
  2. Step 2: Convert to fraction form
    252,816.75/541,614.38 = 541,614.38/x
  3. Step 3: Cross multiply
    252,816.75x = 541,614.38 × 541,614.38
  4. Step 4: Simplify right side
    252,816.75x = 293,346,131,206.64
  5. Step 5: Solve for x
    x = 293,346,131,206.64/252,816.75
  6. Step 6: Final answer
    x = 1,160,311.30

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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.