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Finding the Third Proportional to 512,898 and 804,557

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Solution

The third proportional to 512,898 and 804,557 is: 1,262,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,898 : 804,557 = 804,557 : x
  2. Step 2: Convert to fraction form
    512,898/804,557 = 804,557/x
  3. Step 3: Cross multiply
    512,898x = 804,557 × 804,557
  4. Step 4: Simplify right side
    512,898x = 647,311,966,249
  5. Step 5: Solve for x
    x = 647,311,966,249/512,898
  6. Step 6: Final answer
    x = 1,262,067.64

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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.