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Finding the Third Proportional to 512,934 and 804,612

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Solution

The third proportional to 512,934 and 804,612 is: 1,262,151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,934 : 804,612 = 804,612 : x
  2. Step 2: Convert to fraction form
    512,934/804,612 = 804,612/x
  3. Step 3: Cross multiply
    512,934x = 804,612 × 804,612
  4. Step 4: Simplify right side
    512,934x = 647,400,470,544
  5. Step 5: Solve for x
    x = 647,400,470,544/512,934
  6. Step 6: Final answer
    x = 1,262,151.60

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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.