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Finding the Third Proportional to 635,858 and 960,268

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Solution

The third proportional to 635,858 and 960,268 is: 1,450,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,858 : 960,268 = 960,268 : x
  2. Step 2: Convert to fraction form
    635,858/960,268 = 960,268/x
  3. Step 3: Cross multiply
    635,858x = 960,268 × 960,268
  4. Step 4: Simplify right side
    635,858x = 922,114,631,824
  5. Step 5: Solve for x
    x = 922,114,631,824/635,858
  6. Step 6: Final answer
    x = 1,450,189.56

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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.