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Finding the Third Proportional to 327,514 and 520,796

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Solution

The third proportional to 327,514 and 520,796 is: 828,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,514 : 520,796 = 520,796 : x
  2. Step 2: Convert to fraction form
    327,514/520,796 = 520,796/x
  3. Step 3: Cross multiply
    327,514x = 520,796 × 520,796
  4. Step 4: Simplify right side
    327,514x = 271,228,473,616
  5. Step 5: Solve for x
    x = 271,228,473,616/327,514
  6. Step 6: Final answer
    x = 828,143.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.