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Finding the Third Proportional to 246,711 and 512,814

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Solution

The third proportional to 246,711 and 512,814 is: 1,065,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,711 : 512,814 = 512,814 : x
  2. Step 2: Convert to fraction form
    246,711/512,814 = 512,814/x
  3. Step 3: Cross multiply
    246,711x = 512,814 × 512,814
  4. Step 4: Simplify right side
    246,711x = 262,978,198,596
  5. Step 5: Solve for x
    x = 262,978,198,596/246,711
  6. Step 6: Final answer
    x = 1,065,936.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.