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Finding the Third Proportional to 635,860 and 960,271

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Solution

The third proportional to 635,860 and 960,271 is: 1,450,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,860 : 960,271 = 960,271 : x
  2. Step 2: Convert to fraction form
    635,860/960,271 = 960,271/x
  3. Step 3: Cross multiply
    635,860x = 960,271 × 960,271
  4. Step 4: Simplify right side
    635,860x = 922,120,393,441
  5. Step 5: Solve for x
    x = 922,120,393,441/635,860
  6. Step 6: Final answer
    x = 1,450,194.06

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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.