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Finding the Third Proportional to 251,013 and 382,406

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Solution

The third proportional to 251,013 and 382,406 is: 582,576.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,013 : 382,406 = 382,406 : x
  2. Step 2: Convert to fraction form
    251,013/382,406 = 382,406/x
  3. Step 3: Cross multiply
    251,013x = 382,406 × 382,406
  4. Step 4: Simplify right side
    251,013x = 146,234,348,836
  5. Step 5: Solve for x
    x = 146,234,348,836/251,013
  6. Step 6: Final answer
    x = 582,576.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.