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Finding the Third Proportional to 397,621.50 and 854,571

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Solution

The third proportional to 397,621.50 and 854,571 is: 1,836,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,621.50 : 854,571 = 854,571 : x
  2. Step 2: Convert to fraction form
    397,621.50/854,571 = 854,571/x
  3. Step 3: Cross multiply
    397,621.50x = 854,571 × 854,571
  4. Step 4: Simplify right side
    397,621.50x = 730,291,594,041
  5. Step 5: Solve for x
    x = 730,291,594,041/397,621.50
  6. Step 6: Final answer
    x = 1,836,650.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.