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Finding the Third Proportional to 211,593 and 327,839

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Solution

The third proportional to 211,593 and 327,839 is: 507,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,593 : 327,839 = 327,839 : x
  2. Step 2: Convert to fraction form
    211,593/327,839 = 327,839/x
  3. Step 3: Cross multiply
    211,593x = 327,839 × 327,839
  4. Step 4: Simplify right side
    211,593x = 107,478,409,921
  5. Step 5: Solve for x
    x = 107,478,409,921/211,593
  6. Step 6: Final answer
    x = 507,948.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.