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Finding the Third Proportional to 293,711 and 635,536

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Solution

The third proportional to 293,711 and 635,536 is: 1,375,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,711 : 635,536 = 635,536 : x
  2. Step 2: Convert to fraction form
    293,711/635,536 = 635,536/x
  3. Step 3: Cross multiply
    293,711x = 635,536 × 635,536
  4. Step 4: Simplify right side
    293,711x = 403,906,007,296
  5. Step 5: Solve for x
    x = 403,906,007,296/293,711
  6. Step 6: Final answer
    x = 1,375,181.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.