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Finding the Third Proportional to 319,692 and 689,244

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Solution

The third proportional to 319,692 and 689,244 is: 1,485,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,692 : 689,244 = 689,244 : x
  2. Step 2: Convert to fraction form
    319,692/689,244 = 689,244/x
  3. Step 3: Cross multiply
    319,692x = 689,244 × 689,244
  4. Step 4: Simplify right side
    319,692x = 475,057,291,536
  5. Step 5: Solve for x
    x = 475,057,291,536/319,692
  6. Step 6: Final answer
    x = 1,485,984.30

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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.