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Finding the Third Proportional to 367,057 and 493,993

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Solution

The third proportional to 367,057 and 493,993 is: 664,826.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,057 : 493,993 = 493,993 : x
  2. Step 2: Convert to fraction form
    367,057/493,993 = 493,993/x
  3. Step 3: Cross multiply
    367,057x = 493,993 × 493,993
  4. Step 4: Simplify right side
    367,057x = 244,029,084,049
  5. Step 5: Solve for x
    x = 244,029,084,049/367,057
  6. Step 6: Final answer
    x = 664,826.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.