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Finding the Third Proportional to 252,186 and 548,436

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Solution

The third proportional to 252,186 and 548,436 is: 1,192,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,186 : 548,436 = 548,436 : x
  2. Step 2: Convert to fraction form
    252,186/548,436 = 548,436/x
  3. Step 3: Cross multiply
    252,186x = 548,436 × 548,436
  4. Step 4: Simplify right side
    252,186x = 300,782,046,096
  5. Step 5: Solve for x
    x = 300,782,046,096/252,186
  6. Step 6: Final answer
    x = 1,192,699.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.