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Finding the Third Proportional to 327,896 and 521,388

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Solution

The third proportional to 327,896 and 521,388 is: 829,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,896 : 521,388 = 521,388 : x
  2. Step 2: Convert to fraction form
    327,896/521,388 = 521,388/x
  3. Step 3: Cross multiply
    327,896x = 521,388 × 521,388
  4. Step 4: Simplify right side
    327,896x = 271,845,446,544
  5. Step 5: Solve for x
    x = 271,845,446,544/327,896
  6. Step 6: Final answer
    x = 829,059.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.