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Finding the Third Proportional to 211,410 and 327,204.56

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Solution

The third proportional to 211,410 and 327,204.56 is: 506,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,410 : 327,204.56 = 327,204.56 : x
  2. Step 2: Convert to fraction form
    211,410/327,204.56 = 327,204.56/x
  3. Step 3: Cross multiply
    211,410x = 327,204.56 × 327,204.56
  4. Step 4: Simplify right side
    211,410x = 107,062,825,720.82
  5. Step 5: Solve for x
    x = 107,062,825,720.82/211,410
  6. Step 6: Final answer
    x = 506,422.71

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