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Finding the Third Proportional to 211,462 and 327,817

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Solution

The third proportional to 211,462 and 327,817 is: 508,195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,462 : 327,817 = 327,817 : x
  2. Step 2: Convert to fraction form
    211,462/327,817 = 327,817/x
  3. Step 3: Cross multiply
    211,462x = 327,817 × 327,817
  4. Step 4: Simplify right side
    211,462x = 107,463,985,489
  5. Step 5: Solve for x
    x = 107,463,985,489/211,462
  6. Step 6: Final answer
    x = 508,195.26

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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.