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Finding the Third Proportional to 284.44 and 441.94

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Solution

The third proportional to 284.44 and 441.94 is: 686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.44 : 441.94 = 441.94 : x
  2. Step 2: Convert to fraction form
    284.44/441.94 = 441.94/x
  3. Step 3: Cross multiply
    284.44x = 441.94 × 441.94
  4. Step 4: Simplify right side
    284.44x = 195,308.75
  5. Step 5: Solve for x
    x = 195,308.75/284.44
  6. Step 6: Final answer
    x = 686.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.