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Finding the Third Proportional to 269,002 and 376,999

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Solution

The third proportional to 269,002 and 376,999 is: 528,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,002 : 376,999 = 376,999 : x
  2. Step 2: Convert to fraction form
    269,002/376,999 = 376,999/x
  3. Step 3: Cross multiply
    269,002x = 376,999 × 376,999
  4. Step 4: Simplify right side
    269,002x = 142,128,246,001
  5. Step 5: Solve for x
    x = 142,128,246,001/269,002
  6. Step 6: Final answer
    x = 528,353.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.