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Finding the Third Proportional to 905.63 and 2,078.44

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Solution

The third proportional to 905.63 and 2,078.44 is: 4,770.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.63 : 2,078.44 = 2,078.44 : x
  2. Step 2: Convert to fraction form
    905.63/2,078.44 = 2,078.44/x
  3. Step 3: Cross multiply
    905.63x = 2,078.44 × 2,078.44
  4. Step 4: Simplify right side
    905.63x = 4,319,902.44
  5. Step 5: Solve for x
    x = 4,319,902.44/905.63
  6. Step 6: Final answer
    x = 4,770.08

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.