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Finding the Third Proportional to 319,686 and 689,232

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Solution

The third proportional to 319,686 and 689,232 is: 1,485,960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,686 : 689,232 = 689,232 : x
  2. Step 2: Convert to fraction form
    319,686/689,232 = 689,232/x
  3. Step 3: Cross multiply
    319,686x = 689,232 × 689,232
  4. Step 4: Simplify right side
    319,686x = 475,040,749,824
  5. Step 5: Solve for x
    x = 475,040,749,824/319,686
  6. Step 6: Final answer
    x = 1,485,960.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.