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Finding the Third Proportional to 295,573 and 635,493

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Solution

The third proportional to 295,573 and 635,493 is: 1,366,333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,573 : 635,493 = 635,493 : x
  2. Step 2: Convert to fraction form
    295,573/635,493 = 635,493/x
  3. Step 3: Cross multiply
    295,573x = 635,493 × 635,493
  4. Step 4: Simplify right side
    295,573x = 403,851,353,049
  5. Step 5: Solve for x
    x = 403,851,353,049/295,573
  6. Step 6: Final answer
    x = 1,366,333.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.