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Finding the Third Proportional to 252,414 and 550,512

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Solution

The third proportional to 252,414 and 550,512 is: 1,200,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,414 : 550,512 = 550,512 : x
  2. Step 2: Convert to fraction form
    252,414/550,512 = 550,512/x
  3. Step 3: Cross multiply
    252,414x = 550,512 × 550,512
  4. Step 4: Simplify right side
    252,414x = 303,063,462,144
  5. Step 5: Solve for x
    x = 303,063,462,144/252,414
  6. Step 6: Final answer
    x = 1,200,660.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.