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Finding the Third Proportional to 321,032 and 349,054

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Solution

The third proportional to 321,032 and 349,054 is: 379,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,032 : 349,054 = 349,054 : x
  2. Step 2: Convert to fraction form
    321,032/349,054 = 349,054/x
  3. Step 3: Cross multiply
    321,032x = 349,054 × 349,054
  4. Step 4: Simplify right side
    321,032x = 121,838,694,916
  5. Step 5: Solve for x
    x = 121,838,694,916/321,032
  6. Step 6: Final answer
    x = 379,521.96

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.