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Finding the Third Proportional to 372,747 and 496,622

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Solution

The third proportional to 372,747 and 496,622 is: 661,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,747 : 496,622 = 496,622 : x
  2. Step 2: Convert to fraction form
    372,747/496,622 = 496,622/x
  3. Step 3: Cross multiply
    372,747x = 496,622 × 496,622
  4. Step 4: Simplify right side
    372,747x = 246,633,410,884
  5. Step 5: Solve for x
    x = 246,633,410,884/372,747
  6. Step 6: Final answer
    x = 661,664.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.