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Finding the Third Proportional to 150,624 and 324,588

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Solution

The third proportional to 150,624 and 324,588 is: 699,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,624 : 324,588 = 324,588 : x
  2. Step 2: Convert to fraction form
    150,624/324,588 = 324,588/x
  3. Step 3: Cross multiply
    150,624x = 324,588 × 324,588
  4. Step 4: Simplify right side
    150,624x = 105,357,369,744
  5. Step 5: Solve for x
    x = 105,357,369,744/150,624
  6. Step 6: Final answer
    x = 699,472.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.