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Finding the Third Proportional to 211,412 and 327,414

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Solution

The third proportional to 211,412 and 327,414 is: 507,066.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,412 : 327,414 = 327,414 : x
  2. Step 2: Convert to fraction form
    211,412/327,414 = 327,414/x
  3. Step 3: Cross multiply
    211,412x = 327,414 × 327,414
  4. Step 4: Simplify right side
    211,412x = 107,199,927,396
  5. Step 5: Solve for x
    x = 107,199,927,396/211,412
  6. Step 6: Final answer
    x = 507,066.43

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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.