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Finding the Third Proportional to 474,889.50 and 998,979.75

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Solution

The third proportional to 474,889.50 and 998,979.75 is: 2,101,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,889.50 : 998,979.75 = 998,979.75 : x
  2. Step 2: Convert to fraction form
    474,889.50/998,979.75 = 998,979.75/x
  3. Step 3: Cross multiply
    474,889.50x = 998,979.75 × 998,979.75
  4. Step 4: Simplify right side
    474,889.50x = 997,960,540,910.06
  5. Step 5: Solve for x
    x = 997,960,540,910.06/474,889.50
  6. Step 6: Final answer
    x = 2,101,458.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.