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Finding the Third Proportional to 512,895.94 and 804,553.64

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Solution

The third proportional to 512,895.94 and 804,553.64 is: 1,262,062.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,895.94 : 804,553.64 = 804,553.64 : x
  2. Step 2: Convert to fraction form
    512,895.94/804,553.64 = 804,553.64/x
  3. Step 3: Cross multiply
    512,895.94x = 804,553.64 × 804,553.64
  4. Step 4: Simplify right side
    512,895.94x = 647,306,560,642.94
  5. Step 5: Solve for x
    x = 647,306,560,642.94/512,895.94
  6. Step 6: Final answer
    x = 1,262,062.17

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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.