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Finding the Third Proportional to 378.25 and 827.50

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Solution

The third proportional to 378.25 and 827.50 is: 1,810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.25 : 827.50 = 827.50 : x
  2. Step 2: Convert to fraction form
    378.25/827.50 = 827.50/x
  3. Step 3: Cross multiply
    378.25x = 827.50 × 827.50
  4. Step 4: Simplify right side
    378.25x = 684,756.25
  5. Step 5: Solve for x
    x = 684,756.25/378.25
  6. Step 6: Final answer
    x = 1,810.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.