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Finding the Third Proportional to 512,764.17 and 746,659.27

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Solution

The third proportional to 512,764.17 and 746,659.27 is: 1,087,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,764.17 : 746,659.27 = 746,659.27 : x
  2. Step 2: Convert to fraction form
    512,764.17/746,659.27 = 746,659.27/x
  3. Step 3: Cross multiply
    512,764.17x = 746,659.27 × 746,659.27
  4. Step 4: Simplify right side
    512,764.17x = 557,500,058,943.66
  5. Step 5: Solve for x
    x = 557,500,058,943.66/512,764.17
  6. Step 6: Final answer
    x = 1,087,244.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.