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Finding the Third Proportional to 283.88 and 444

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Solution

The third proportional to 283.88 and 444 is: 694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.88 : 444 = 444 : x
  2. Step 2: Convert to fraction form
    283.88/444 = 444/x
  3. Step 3: Cross multiply
    283.88x = 444 × 444
  4. Step 4: Simplify right side
    283.88x = 197,136
  5. Step 5: Solve for x
    x = 197,136/283.88
  6. Step 6: Final answer
    x = 694.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.