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Finding the Third Proportional to 293,890 and 413,863

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Solution

The third proportional to 293,890 and 413,863 is: 582,811.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,890 : 413,863 = 413,863 : x
  2. Step 2: Convert to fraction form
    293,890/413,863 = 413,863/x
  3. Step 3: Cross multiply
    293,890x = 413,863 × 413,863
  4. Step 4: Simplify right side
    293,890x = 171,282,582,769
  5. Step 5: Solve for x
    x = 171,282,582,769/293,890
  6. Step 6: Final answer
    x = 582,811.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.