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Finding the Third Proportional to 327,738 and 448,536

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Solution

The third proportional to 327,738 and 448,536 is: 613,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,738 : 448,536 = 448,536 : x
  2. Step 2: Convert to fraction form
    327,738/448,536 = 448,536/x
  3. Step 3: Cross multiply
    327,738x = 448,536 × 448,536
  4. Step 4: Simplify right side
    327,738x = 201,184,543,296
  5. Step 5: Solve for x
    x = 201,184,543,296/327,738
  6. Step 6: Final answer
    x = 613,857.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.