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Finding the Third Proportional to 324,684 and 694,188

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Solution

The third proportional to 324,684 and 694,188 is: 1,484,203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,684 : 694,188 = 694,188 : x
  2. Step 2: Convert to fraction form
    324,684/694,188 = 694,188/x
  3. Step 3: Cross multiply
    324,684x = 694,188 × 694,188
  4. Step 4: Simplify right side
    324,684x = 481,896,979,344
  5. Step 5: Solve for x
    x = 481,896,979,344/324,684
  6. Step 6: Final answer
    x = 1,484,203.04

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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.