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Finding the Third Proportional to 512,922 and 804,593

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Solution

The third proportional to 512,922 and 804,593 is: 1,262,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,922 : 804,593 = 804,593 : x
  2. Step 2: Convert to fraction form
    512,922/804,593 = 804,593/x
  3. Step 3: Cross multiply
    512,922x = 804,593 × 804,593
  4. Step 4: Simplify right side
    512,922x = 647,369,895,649
  5. Step 5: Solve for x
    x = 647,369,895,649/512,922
  6. Step 6: Final answer
    x = 1,262,121.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.