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Finding the Third Proportional to 425.25 and 889.31

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Solution

The third proportional to 425.25 and 889.31 is: 1,859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.25 : 889.31 = 889.31 : x
  2. Step 2: Convert to fraction form
    425.25/889.31 = 889.31/x
  3. Step 3: Cross multiply
    425.25x = 889.31 × 889.31
  4. Step 4: Simplify right side
    425.25x = 790,876.72
  5. Step 5: Solve for x
    x = 790,876.72/425.25
  6. Step 6: Final answer
    x = 1,859.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.