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Finding the Third Proportional to 450.88 and 969.25

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Solution

The third proportional to 450.88 and 969.25 is: 2,083.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.88 : 969.25 = 969.25 : x
  2. Step 2: Convert to fraction form
    450.88/969.25 = 969.25/x
  3. Step 3: Cross multiply
    450.88x = 969.25 × 969.25
  4. Step 4: Simplify right side
    450.88x = 939,445.56
  5. Step 5: Solve for x
    x = 939,445.56/450.88
  6. Step 6: Final answer
    x = 2,083.61

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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.