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Finding the Third Proportional to 251,306 and 541,976

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Solution

The third proportional to 251,306 and 541,976 is: 1,168,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,306 : 541,976 = 541,976 : x
  2. Step 2: Convert to fraction form
    251,306/541,976 = 541,976/x
  3. Step 3: Cross multiply
    251,306x = 541,976 × 541,976
  4. Step 4: Simplify right side
    251,306x = 293,737,984,576
  5. Step 5: Solve for x
    x = 293,737,984,576/251,306
  6. Step 6: Final answer
    x = 1,168,845.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.