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Finding the Third Proportional to 381,782.25 and 794,997

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Solution

The third proportional to 381,782.25 and 794,997 is: 1,655,446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,782.25 : 794,997 = 794,997 : x
  2. Step 2: Convert to fraction form
    381,782.25/794,997 = 794,997/x
  3. Step 3: Cross multiply
    381,782.25x = 794,997 × 794,997
  4. Step 4: Simplify right side
    381,782.25x = 632,020,230,009
  5. Step 5: Solve for x
    x = 632,020,230,009/381,782.25
  6. Step 6: Final answer
    x = 1,655,446.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.