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Finding the Third Proportional to 327,208 and 701,040

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Solution

The third proportional to 327,208 and 701,040 is: 1,501,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,208 : 701,040 = 701,040 : x
  2. Step 2: Convert to fraction form
    327,208/701,040 = 701,040/x
  3. Step 3: Cross multiply
    327,208x = 701,040 × 701,040
  4. Step 4: Simplify right side
    327,208x = 491,457,081,600
  5. Step 5: Solve for x
    x = 491,457,081,600/327,208
  6. Step 6: Final answer
    x = 1,501,971.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.