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Finding the Third Proportional to 600,380.25 and 928,626

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Solution

The third proportional to 600,380.25 and 928,626 is: 1,436,333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,380.25 : 928,626 = 928,626 : x
  2. Step 2: Convert to fraction form
    600,380.25/928,626 = 928,626/x
  3. Step 3: Cross multiply
    600,380.25x = 928,626 × 928,626
  4. Step 4: Simplify right side
    600,380.25x = 862,346,247,876
  5. Step 5: Solve for x
    x = 862,346,247,876/600,380.25
  6. Step 6: Final answer
    x = 1,436,333.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.