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Finding the Third Proportional to 325,625 and 694,261

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Solution

The third proportional to 325,625 and 694,261 is: 1,480,225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,625 : 694,261 = 694,261 : x
  2. Step 2: Convert to fraction form
    325,625/694,261 = 694,261/x
  3. Step 3: Cross multiply
    325,625x = 694,261 × 694,261
  4. Step 4: Simplify right side
    325,625x = 481,998,336,121
  5. Step 5: Solve for x
    x = 481,998,336,121/325,625
  6. Step 6: Final answer
    x = 1,480,225.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.