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Finding the Third Proportional to 251,009 and 382,394

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Solution

The third proportional to 251,009 and 382,394 is: 582,549.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,009 : 382,394 = 382,394 : x
  2. Step 2: Convert to fraction form
    251,009/382,394 = 382,394/x
  3. Step 3: Cross multiply
    251,009x = 382,394 × 382,394
  4. Step 4: Simplify right side
    251,009x = 146,225,171,236
  5. Step 5: Solve for x
    x = 146,225,171,236/251,009
  6. Step 6: Final answer
    x = 582,549.52

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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.