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Finding the Third Proportional to 301,812 and 655,626

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Solution

The third proportional to 301,812 and 655,626 is: 1,424,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,812 : 655,626 = 655,626 : x
  2. Step 2: Convert to fraction form
    301,812/655,626 = 655,626/x
  3. Step 3: Cross multiply
    301,812x = 655,626 × 655,626
  4. Step 4: Simplify right side
    301,812x = 429,845,451,876
  5. Step 5: Solve for x
    x = 429,845,451,876/301,812
  6. Step 6: Final answer
    x = 1,424,215.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.