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Finding the Third Proportional to 635,733 and 960,079

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Solution

The third proportional to 635,733 and 960,079 is: 1,449,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,733 : 960,079 = 960,079 : x
  2. Step 2: Convert to fraction form
    635,733/960,079 = 960,079/x
  3. Step 3: Cross multiply
    635,733x = 960,079 × 960,079
  4. Step 4: Simplify right side
    635,733x = 921,751,686,241
  5. Step 5: Solve for x
    x = 921,751,686,241/635,733
  6. Step 6: Final answer
    x = 1,449,903.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.