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Finding the Third Proportional to 324,164.75 and 475,737.25

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Solution

The third proportional to 324,164.75 and 475,737.25 is: 698,181.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,164.75 : 475,737.25 = 475,737.25 : x
  2. Step 2: Convert to fraction form
    324,164.75/475,737.25 = 475,737.25/x
  3. Step 3: Cross multiply
    324,164.75x = 475,737.25 × 475,737.25
  4. Step 4: Simplify right side
    324,164.75x = 226,325,931,037.56
  5. Step 5: Solve for x
    x = 226,325,931,037.56/324,164.75
  6. Step 6: Final answer
    x = 698,181.81

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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.