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Finding the Third Proportional to 324,198 and 520,894

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Solution

The third proportional to 324,198 and 520,894 is: 836,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,198 : 520,894 = 520,894 : x
  2. Step 2: Convert to fraction form
    324,198/520,894 = 520,894/x
  3. Step 3: Cross multiply
    324,198x = 520,894 × 520,894
  4. Step 4: Simplify right side
    324,198x = 271,330,559,236
  5. Step 5: Solve for x
    x = 271,330,559,236/324,198
  6. Step 6: Final answer
    x = 836,928.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.