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Finding the Third Proportional to 465,908 and 998,296

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Solution

The third proportional to 465,908 and 998,296 is: 2,139,037.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,908 : 998,296 = 998,296 : x
  2. Step 2: Convert to fraction form
    465,908/998,296 = 998,296/x
  3. Step 3: Cross multiply
    465,908x = 998,296 × 998,296
  4. Step 4: Simplify right side
    465,908x = 996,594,903,616
  5. Step 5: Solve for x
    x = 996,594,903,616/465,908
  6. Step 6: Final answer
    x = 2,139,037.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.