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Finding the Third Proportional to 327,866 and 521,336

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Solution

The third proportional to 327,866 and 521,336 is: 828,970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,866 : 521,336 = 521,336 : x
  2. Step 2: Convert to fraction form
    327,866/521,336 = 521,336/x
  3. Step 3: Cross multiply
    327,866x = 521,336 × 521,336
  4. Step 4: Simplify right side
    327,866x = 271,791,224,896
  5. Step 5: Solve for x
    x = 271,791,224,896/327,866
  6. Step 6: Final answer
    x = 828,970.45

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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.