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Finding the Third Proportional to 906.75 and 1,272.94

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Solution

The third proportional to 906.75 and 1,272.94 is: 1,787.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.75 : 1,272.94 = 1,272.94 : x
  2. Step 2: Convert to fraction form
    906.75/1,272.94 = 1,272.94/x
  3. Step 3: Cross multiply
    906.75x = 1,272.94 × 1,272.94
  4. Step 4: Simplify right side
    906.75x = 1,620,369.88
  5. Step 5: Solve for x
    x = 1,620,369.88/906.75
  6. Step 6: Final answer
    x = 1,787.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.