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Finding the Third Proportional to 350,738 and 767,104

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Solution

The third proportional to 350,738 and 767,104 is: 1,677,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,738 : 767,104 = 767,104 : x
  2. Step 2: Convert to fraction form
    350,738/767,104 = 767,104/x
  3. Step 3: Cross multiply
    350,738x = 767,104 × 767,104
  4. Step 4: Simplify right side
    350,738x = 588,448,546,816
  5. Step 5: Solve for x
    x = 588,448,546,816/350,738
  6. Step 6: Final answer
    x = 1,677,743.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.