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Finding the Third Proportional to 350,696 and 767,016

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Solution

The third proportional to 350,696 and 767,016 is: 1,677,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,696 : 767,016 = 767,016 : x
  2. Step 2: Convert to fraction form
    350,696/767,016 = 767,016/x
  3. Step 3: Cross multiply
    350,696x = 767,016 × 767,016
  4. Step 4: Simplify right side
    350,696x = 588,313,544,256
  5. Step 5: Solve for x
    x = 588,313,544,256/350,696
  6. Step 6: Final answer
    x = 1,677,559.89

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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.