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Finding the Third Proportional to 493,233 and 739,917

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Solution

The third proportional to 493,233 and 739,917 is: 1,109,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,233 : 739,917 = 739,917 : x
  2. Step 2: Convert to fraction form
    493,233/739,917 = 739,917/x
  3. Step 3: Cross multiply
    493,233x = 739,917 × 739,917
  4. Step 4: Simplify right side
    493,233x = 547,477,166,889
  5. Step 5: Solve for x
    x = 547,477,166,889/493,233
  6. Step 6: Final answer
    x = 1,109,976.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.