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Finding the Third Proportional to 512,274 and 823,086

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Solution

The third proportional to 512,274 and 823,086 is: 1,322,476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,274 : 823,086 = 823,086 : x
  2. Step 2: Convert to fraction form
    512,274/823,086 = 823,086/x
  3. Step 3: Cross multiply
    512,274x = 823,086 × 823,086
  4. Step 4: Simplify right side
    512,274x = 677,470,563,396
  5. Step 5: Solve for x
    x = 677,470,563,396/512,274
  6. Step 6: Final answer
    x = 1,322,476.96

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.