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Finding the Third Proportional to 233,892 and 364,512

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Solution

The third proportional to 233,892 and 364,512 is: 568,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,892 : 364,512 = 364,512 : x
  2. Step 2: Convert to fraction form
    233,892/364,512 = 364,512/x
  3. Step 3: Cross multiply
    233,892x = 364,512 × 364,512
  4. Step 4: Simplify right side
    233,892x = 132,868,998,144
  5. Step 5: Solve for x
    x = 132,868,998,144/233,892
  6. Step 6: Final answer
    x = 568,078.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.