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Finding the Third Proportional to 324,997.31 and 468,129.38

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Solution

The third proportional to 324,997.31 and 468,129.38 is: 674,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,997.31 : 468,129.38 = 468,129.38 : x
  2. Step 2: Convert to fraction form
    324,997.31/468,129.38 = 468,129.38/x
  3. Step 3: Cross multiply
    324,997.31x = 468,129.38 × 468,129.38
  4. Step 4: Simplify right side
    324,997.31x = 219,145,111,737.89
  5. Step 5: Solve for x
    x = 219,145,111,737.89/324,997.31
  6. Step 6: Final answer
    x = 674,298.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.