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Finding the Third Proportional to 217,692 and 461,826

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Solution

The third proportional to 217,692 and 461,826 is: 979,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,692 : 461,826 = 461,826 : x
  2. Step 2: Convert to fraction form
    217,692/461,826 = 461,826/x
  3. Step 3: Cross multiply
    217,692x = 461,826 × 461,826
  4. Step 4: Simplify right side
    217,692x = 213,283,254,276
  5. Step 5: Solve for x
    x = 213,283,254,276/217,692
  6. Step 6: Final answer
    x = 979,747.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.