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Finding the Third Proportional to 297,198 and 579,512

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Solution

The third proportional to 297,198 and 579,512 is: 1,130,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,198 : 579,512 = 579,512 : x
  2. Step 2: Convert to fraction form
    297,198/579,512 = 579,512/x
  3. Step 3: Cross multiply
    297,198x = 579,512 × 579,512
  4. Step 4: Simplify right side
    297,198x = 335,834,158,144
  5. Step 5: Solve for x
    x = 335,834,158,144/297,198
  6. Step 6: Final answer
    x = 1,130,001.41

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.