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Finding the Third Proportional to 425.75 and 894.63

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Solution

The third proportional to 425.75 and 894.63 is: 1,879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.75 : 894.63 = 894.63 : x
  2. Step 2: Convert to fraction form
    425.75/894.63 = 894.63/x
  3. Step 3: Cross multiply
    425.75x = 894.63 × 894.63
  4. Step 4: Simplify right side
    425.75x = 800,353.89
  5. Step 5: Solve for x
    x = 800,353.89/425.75
  6. Step 6: Final answer
    x = 1,879.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.