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Finding the Third Proportional to 324,170 and 475,737

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Solution

The third proportional to 324,170 and 475,737 is: 698,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,170 : 475,737 = 475,737 : x
  2. Step 2: Convert to fraction form
    324,170/475,737 = 475,737/x
  3. Step 3: Cross multiply
    324,170x = 475,737 × 475,737
  4. Step 4: Simplify right side
    324,170x = 226,325,693,169
  5. Step 5: Solve for x
    x = 226,325,693,169/324,170
  6. Step 6: Final answer
    x = 698,169.77

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