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Finding the Third Proportional to 323,705 and 694,066

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Solution

The third proportional to 323,705 and 694,066 is: 1,488,168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,705 : 694,066 = 694,066 : x
  2. Step 2: Convert to fraction form
    323,705/694,066 = 694,066/x
  3. Step 3: Cross multiply
    323,705x = 694,066 × 694,066
  4. Step 4: Simplify right side
    323,705x = 481,727,612,356
  5. Step 5: Solve for x
    x = 481,727,612,356/323,705
  6. Step 6: Final answer
    x = 1,488,168.59

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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.