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Finding the Third Proportional to 376,331 and 814,003

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Solution

The third proportional to 376,331 and 814,003 is: 1,760,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,331 : 814,003 = 814,003 : x
  2. Step 2: Convert to fraction form
    376,331/814,003 = 814,003/x
  3. Step 3: Cross multiply
    376,331x = 814,003 × 814,003
  4. Step 4: Simplify right side
    376,331x = 662,600,884,009
  5. Step 5: Solve for x
    x = 662,600,884,009/376,331
  6. Step 6: Final answer
    x = 1,760,686.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.