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Finding the Third Proportional to 323,703 and 694,062

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Solution

The third proportional to 323,703 and 694,062 is: 1,488,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,703 : 694,062 = 694,062 : x
  2. Step 2: Convert to fraction form
    323,703/694,062 = 694,062/x
  3. Step 3: Cross multiply
    323,703x = 694,062 × 694,062
  4. Step 4: Simplify right side
    323,703x = 481,722,059,844
  5. Step 5: Solve for x
    x = 481,722,059,844/323,703
  6. Step 6: Final answer
    x = 1,488,160.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.