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Finding the Third Proportional to 150,446 and 324,403

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Solution

The third proportional to 150,446 and 324,403 is: 699,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,446 : 324,403 = 324,403 : x
  2. Step 2: Convert to fraction form
    150,446/324,403 = 324,403/x
  3. Step 3: Cross multiply
    150,446x = 324,403 × 324,403
  4. Step 4: Simplify right side
    150,446x = 105,237,306,409
  5. Step 5: Solve for x
    x = 105,237,306,409/150,446
  6. Step 6: Final answer
    x = 699,502.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.