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Finding the Third Proportional to 324,174 and 520,861

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Solution

The third proportional to 324,174 and 520,861 is: 836,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,174 : 520,861 = 520,861 : x
  2. Step 2: Convert to fraction form
    324,174/520,861 = 520,861/x
  3. Step 3: Cross multiply
    324,174x = 520,861 × 520,861
  4. Step 4: Simplify right side
    324,174x = 271,296,181,321
  5. Step 5: Solve for x
    x = 271,296,181,321/324,174
  6. Step 6: Final answer
    x = 836,884.46

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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.