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Finding the Third Proportional to 215,844 and 327,654

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Solution

The third proportional to 215,844 and 327,654 is: 497,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,844 : 327,654 = 327,654 : x
  2. Step 2: Convert to fraction form
    215,844/327,654 = 327,654/x
  3. Step 3: Cross multiply
    215,844x = 327,654 × 327,654
  4. Step 4: Simplify right side
    215,844x = 107,357,143,716
  5. Step 5: Solve for x
    x = 107,357,143,716/215,844
  6. Step 6: Final answer
    x = 497,383.03

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.