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Finding the Third Proportional to 293,252 and 638,992

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Solution

The third proportional to 293,252 and 638,992 is: 1,392,354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,252 : 638,992 = 638,992 : x
  2. Step 2: Convert to fraction form
    293,252/638,992 = 638,992/x
  3. Step 3: Cross multiply
    293,252x = 638,992 × 638,992
  4. Step 4: Simplify right side
    293,252x = 408,310,776,064
  5. Step 5: Solve for x
    x = 408,310,776,064/293,252
  6. Step 6: Final answer
    x = 1,392,354.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.