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Finding the Third Proportional to 327,264.75 and 701,185.50

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Solution

The third proportional to 327,264.75 and 701,185.50 is: 1,502,334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,264.75 : 701,185.50 = 701,185.50 : x
  2. Step 2: Convert to fraction form
    327,264.75/701,185.50 = 701,185.50/x
  3. Step 3: Cross multiply
    327,264.75x = 701,185.50 × 701,185.50
  4. Step 4: Simplify right side
    327,264.75x = 491,661,105,410.25
  5. Step 5: Solve for x
    x = 491,661,105,410.25/327,264.75
  6. Step 6: Final answer
    x = 1,502,334.44

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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.