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Finding the Third Proportional to 319,640 and 689,098

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Solution

The third proportional to 319,640 and 689,098 is: 1,485,596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,640 : 689,098 = 689,098 : x
  2. Step 2: Convert to fraction form
    319,640/689,098 = 689,098/x
  3. Step 3: Cross multiply
    319,640x = 689,098 × 689,098
  4. Step 4: Simplify right side
    319,640x = 474,856,053,604
  5. Step 5: Solve for x
    x = 474,856,053,604/319,640
  6. Step 6: Final answer
    x = 1,485,596.46

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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.