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Finding the Third Proportional to 512,914 and 804,581

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Solution

The third proportional to 512,914 and 804,581 is: 1,262,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,914 : 804,581 = 804,581 : x
  2. Step 2: Convert to fraction form
    512,914/804,581 = 804,581/x
  3. Step 3: Cross multiply
    512,914x = 804,581 × 804,581
  4. Step 4: Simplify right side
    512,914x = 647,350,585,561
  5. Step 5: Solve for x
    x = 647,350,585,561/512,914
  6. Step 6: Final answer
    x = 1,262,103.56

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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.