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Finding the Third Proportional to 412,731 and 617,199

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Solution

The third proportional to 412,731 and 617,199 is: 922,960.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,731 : 617,199 = 617,199 : x
  2. Step 2: Convert to fraction form
    412,731/617,199 = 617,199/x
  3. Step 3: Cross multiply
    412,731x = 617,199 × 617,199
  4. Step 4: Simplify right side
    412,731x = 380,934,605,601
  5. Step 5: Solve for x
    x = 380,934,605,601/412,731
  6. Step 6: Final answer
    x = 922,960.97

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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.