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Finding the Third Proportional to 330,100 and 493,916

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Solution

The third proportional to 330,100 and 493,916 is: 739,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,100 : 493,916 = 493,916 : x
  2. Step 2: Convert to fraction form
    330,100/493,916 = 493,916/x
  3. Step 3: Cross multiply
    330,100x = 493,916 × 493,916
  4. Step 4: Simplify right side
    330,100x = 243,953,015,056
  5. Step 5: Solve for x
    x = 243,953,015,056/330,100
  6. Step 6: Final answer
    x = 739,027.61

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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.