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Finding the Third Proportional to 412,730.50 and 617,198

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Solution

The third proportional to 412,730.50 and 617,198 is: 922,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,730.50 : 617,198 = 617,198 : x
  2. Step 2: Convert to fraction form
    412,730.50/617,198 = 617,198/x
  3. Step 3: Cross multiply
    412,730.50x = 617,198 × 617,198
  4. Step 4: Simplify right side
    412,730.50x = 380,933,371,204
  5. Step 5: Solve for x
    x = 380,933,371,204/412,730.50
  6. Step 6: Final answer
    x = 922,959.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.