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Finding the Third Proportional to 372,962 and 814,238

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Solution

The third proportional to 372,962 and 814,238 is: 1,777,616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,962 : 814,238 = 814,238 : x
  2. Step 2: Convert to fraction form
    372,962/814,238 = 814,238/x
  3. Step 3: Cross multiply
    372,962x = 814,238 × 814,238
  4. Step 4: Simplify right side
    372,962x = 662,983,520,644
  5. Step 5: Solve for x
    x = 662,983,520,644/372,962
  6. Step 6: Final answer
    x = 1,777,616.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.