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Finding the Third Proportional to 233,892 and 376,676

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Solution

The third proportional to 233,892 and 376,676 is: 606,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,892 : 376,676 = 376,676 : x
  2. Step 2: Convert to fraction form
    233,892/376,676 = 376,676/x
  3. Step 3: Cross multiply
    233,892x = 376,676 × 376,676
  4. Step 4: Simplify right side
    233,892x = 141,884,808,976
  5. Step 5: Solve for x
    x = 141,884,808,976/233,892
  6. Step 6: Final answer
    x = 606,625.32

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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.