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Finding the Third Proportional to 354,571 and 532,219

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Solution

The third proportional to 354,571 and 532,219 is: 798,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,571 : 532,219 = 532,219 : x
  2. Step 2: Convert to fraction form
    354,571/532,219 = 532,219/x
  3. Step 3: Cross multiply
    354,571x = 532,219 × 532,219
  4. Step 4: Simplify right side
    354,571x = 283,257,063,961
  5. Step 5: Solve for x
    x = 283,257,063,961/354,571
  6. Step 6: Final answer
    x = 798,872.62

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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.