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Finding the Third Proportional to 284.50 and 610.75

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Solution

The third proportional to 284.50 and 610.75 is: 1,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.50 : 610.75 = 610.75 : x
  2. Step 2: Convert to fraction form
    284.50/610.75 = 610.75/x
  3. Step 3: Cross multiply
    284.50x = 610.75 × 610.75
  4. Step 4: Simplify right side
    284.50x = 373,015.56
  5. Step 5: Solve for x
    x = 373,015.56/284.50
  6. Step 6: Final answer
    x = 1,311.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.