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Finding the Third Proportional to 512,266.50 and 823,074.75

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Solution

The third proportional to 512,266.50 and 823,074.75 is: 1,322,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,266.50 : 823,074.75 = 823,074.75 : x
  2. Step 2: Convert to fraction form
    512,266.50/823,074.75 = 823,074.75/x
  3. Step 3: Cross multiply
    512,266.50x = 823,074.75 × 823,074.75
  4. Step 4: Simplify right side
    512,266.50x = 677,452,044,087.56
  5. Step 5: Solve for x
    x = 677,452,044,087.56/512,266.50
  6. Step 6: Final answer
    x = 1,322,460.17

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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.