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Finding the Third Proportional to 324,168 and 475,734.38

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Solution

The third proportional to 324,168 and 475,734.38 is: 698,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,168 : 475,734.38 = 475,734.38 : x
  2. Step 2: Convert to fraction form
    324,168/475,734.38 = 475,734.38/x
  3. Step 3: Cross multiply
    324,168x = 475,734.38 × 475,734.38
  4. Step 4: Simplify right side
    324,168x = 226,323,195,556.64
  5. Step 5: Solve for x
    x = 226,323,195,556.64/324,168
  6. Step 6: Final answer
    x = 698,166.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.