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Finding the Third Proportional to 284.50 and 398.75

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Solution

The third proportional to 284.50 and 398.75 is: 558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.50 : 398.75 = 398.75 : x
  2. Step 2: Convert to fraction form
    284.50/398.75 = 398.75/x
  3. Step 3: Cross multiply
    284.50x = 398.75 × 398.75
  4. Step 4: Simplify right side
    284.50x = 159,001.56
  5. Step 5: Solve for x
    x = 159,001.56/284.50
  6. Step 6: Final answer
    x = 558.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.