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Finding the Third Proportional to 327,624 and 520,944

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Solution

The third proportional to 327,624 and 520,944 is: 828,335.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,624 : 520,944 = 520,944 : x
  2. Step 2: Convert to fraction form
    327,624/520,944 = 520,944/x
  3. Step 3: Cross multiply
    327,624x = 520,944 × 520,944
  4. Step 4: Simplify right side
    327,624x = 271,382,651,136
  5. Step 5: Solve for x
    x = 271,382,651,136/327,624
  6. Step 6: Final answer
    x = 828,335.69

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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.