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Finding the Third Proportional to 327,364 and 510,943

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Solution

The third proportional to 327,364 and 510,943 is: 797,469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,364 : 510,943 = 510,943 : x
  2. Step 2: Convert to fraction form
    327,364/510,943 = 510,943/x
  3. Step 3: Cross multiply
    327,364x = 510,943 × 510,943
  4. Step 4: Simplify right side
    327,364x = 261,062,749,249
  5. Step 5: Solve for x
    x = 261,062,749,249/327,364
  6. Step 6: Final answer
    x = 797,469.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.