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Finding the Third Proportional to 296,904 and 635,847

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Solution

The third proportional to 296,904 and 635,847 is: 1,361,724.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,904 : 635,847 = 635,847 : x
  2. Step 2: Convert to fraction form
    296,904/635,847 = 635,847/x
  3. Step 3: Cross multiply
    296,904x = 635,847 × 635,847
  4. Step 4: Simplify right side
    296,904x = 404,301,407,409
  5. Step 5: Solve for x
    x = 404,301,407,409/296,904
  6. Step 6: Final answer
    x = 1,361,724.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.