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Finding the Third Proportional to 533,714 and 811,568

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Solution

The third proportional to 533,714 and 811,568 is: 1,234,074.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,714 : 811,568 = 811,568 : x
  2. Step 2: Convert to fraction form
    533,714/811,568 = 811,568/x
  3. Step 3: Cross multiply
    533,714x = 811,568 × 811,568
  4. Step 4: Simplify right side
    533,714x = 658,642,618,624
  5. Step 5: Solve for x
    x = 658,642,618,624/533,714
  6. Step 6: Final answer
    x = 1,234,074.09

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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.