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Finding the Third Proportional to 330,104 and 493,922

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Solution

The third proportional to 330,104 and 493,922 is: 739,036.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,104 : 493,922 = 493,922 : x
  2. Step 2: Convert to fraction form
    330,104/493,922 = 493,922/x
  3. Step 3: Cross multiply
    330,104x = 493,922 × 493,922
  4. Step 4: Simplify right side
    330,104x = 243,958,942,084
  5. Step 5: Solve for x
    x = 243,958,942,084/330,104
  6. Step 6: Final answer
    x = 739,036.61

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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.