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Finding the Third Proportional to 324,198 and 520,898

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Solution

The third proportional to 324,198 and 520,898 is: 836,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,198 : 520,898 = 520,898 : x
  2. Step 2: Convert to fraction form
    324,198/520,898 = 520,898/x
  3. Step 3: Cross multiply
    324,198x = 520,898 × 520,898
  4. Step 4: Simplify right side
    324,198x = 271,334,726,404
  5. Step 5: Solve for x
    x = 271,334,726,404/324,198
  6. Step 6: Final answer
    x = 836,941.40

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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.