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Finding the Third Proportional to 324,176 and 505,946

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Solution

The third proportional to 324,176 and 505,946 is: 789,636.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,176 : 505,946 = 505,946 : x
  2. Step 2: Convert to fraction form
    324,176/505,946 = 505,946/x
  3. Step 3: Cross multiply
    324,176x = 505,946 × 505,946
  4. Step 4: Simplify right side
    324,176x = 255,981,354,916
  5. Step 5: Solve for x
    x = 255,981,354,916/324,176
  6. Step 6: Final answer
    x = 789,636.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.