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Finding the Third Proportional to 296,892 and 629,154

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Solution

The third proportional to 296,892 and 629,154 is: 1,333,261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,892 : 629,154 = 629,154 : x
  2. Step 2: Convert to fraction form
    296,892/629,154 = 629,154/x
  3. Step 3: Cross multiply
    296,892x = 629,154 × 629,154
  4. Step 4: Simplify right side
    296,892x = 395,834,755,716
  5. Step 5: Solve for x
    x = 395,834,755,716/296,892
  6. Step 6: Final answer
    x = 1,333,261.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.