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Finding the Third Proportional to 233,997 and 376,836

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Solution

The third proportional to 233,997 and 376,836 is: 606,868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,997 : 376,836 = 376,836 : x
  2. Step 2: Convert to fraction form
    233,997/376,836 = 376,836/x
  3. Step 3: Cross multiply
    233,997x = 376,836 × 376,836
  4. Step 4: Simplify right side
    233,997x = 142,005,370,896
  5. Step 5: Solve for x
    x = 142,005,370,896/233,997
  6. Step 6: Final answer
    x = 606,868.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.