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Finding the Third Proportional to 217,692 and 479,538

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Solution

The third proportional to 217,692 and 479,538 is: 1,056,339.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,692 : 479,538 = 479,538 : x
  2. Step 2: Convert to fraction form
    217,692/479,538 = 479,538/x
  3. Step 3: Cross multiply
    217,692x = 479,538 × 479,538
  4. Step 4: Simplify right side
    217,692x = 229,956,693,444
  5. Step 5: Solve for x
    x = 229,956,693,444/217,692
  6. Step 6: Final answer
    x = 1,056,339.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.