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Finding the Third Proportional to 512,264.25 and 823,071.38

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Solution

The third proportional to 512,264.25 and 823,071.38 is: 1,322,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,264.25 : 823,071.38 = 823,071.38 : x
  2. Step 2: Convert to fraction form
    512,264.25/823,071.38 = 823,071.38/x
  3. Step 3: Cross multiply
    512,264.25x = 823,071.38 × 823,071.38
  4. Step 4: Simplify right side
    512,264.25x = 677,446,488,344.39
  5. Step 5: Solve for x
    x = 677,446,488,344.39/512,264.25
  6. Step 6: Final answer
    x = 1,322,455.14

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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.