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Finding the Third Proportional to 533,715 and 811,571

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Solution

The third proportional to 533,715 and 811,571 is: 1,234,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,715 : 811,571 = 811,571 : x
  2. Step 2: Convert to fraction form
    533,715/811,571 = 811,571/x
  3. Step 3: Cross multiply
    533,715x = 811,571 × 811,571
  4. Step 4: Simplify right side
    533,715x = 658,647,488,041
  5. Step 5: Solve for x
    x = 658,647,488,041/533,715
  6. Step 6: Final answer
    x = 1,234,080.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.