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Finding the Third Proportional to 293,682 and 423,993

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Solution

The third proportional to 293,682 and 423,993 is: 612,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,682 : 423,993 = 423,993 : x
  2. Step 2: Convert to fraction form
    293,682/423,993 = 423,993/x
  3. Step 3: Cross multiply
    293,682x = 423,993 × 423,993
  4. Step 4: Simplify right side
    293,682x = 179,770,064,049
  5. Step 5: Solve for x
    x = 179,770,064,049/293,682
  6. Step 6: Final answer
    x = 612,124.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.