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Finding the Third Proportional to 293,616 and 635,349

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Solution

The third proportional to 293,616 and 635,349 is: 1,374,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,616 : 635,349 = 635,349 : x
  2. Step 2: Convert to fraction form
    293,616/635,349 = 635,349/x
  3. Step 3: Cross multiply
    293,616x = 635,349 × 635,349
  4. Step 4: Simplify right side
    293,616x = 403,668,351,801
  5. Step 5: Solve for x
    x = 403,668,351,801/293,616
  6. Step 6: Final answer
    x = 1,374,817.28

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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.