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Finding the Third Proportional to 635,706.75 and 960,040.50

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Solution

The third proportional to 635,706.75 and 960,040.50 is: 1,449,847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,706.75 : 960,040.50 = 960,040.50 : x
  2. Step 2: Convert to fraction form
    635,706.75/960,040.50 = 960,040.50/x
  3. Step 3: Cross multiply
    635,706.75x = 960,040.50 × 960,040.50
  4. Step 4: Simplify right side
    635,706.75x = 921,677,761,640.25
  5. Step 5: Solve for x
    x = 921,677,761,640.25/635,706.75
  6. Step 6: Final answer
    x = 1,449,847.37

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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.