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Finding the Third Proportional to 369.84 and 958.78

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Solution

The third proportional to 369.84 and 958.78 is: 2,485.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.84 : 958.78 = 958.78 : x
  2. Step 2: Convert to fraction form
    369.84/958.78 = 958.78/x
  3. Step 3: Cross multiply
    369.84x = 958.78 × 958.78
  4. Step 4: Simplify right side
    369.84x = 919,261.49
  5. Step 5: Solve for x
    x = 919,261.49/369.84
  6. Step 6: Final answer
    x = 2,485.54

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.