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Finding the Third Proportional to 905.75 and 1,439.75

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Solution

The third proportional to 905.75 and 1,439.75 is: 2,288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.75 : 1,439.75 = 1,439.75 : x
  2. Step 2: Convert to fraction form
    905.75/1,439.75 = 1,439.75/x
  3. Step 3: Cross multiply
    905.75x = 1,439.75 × 1,439.75
  4. Step 4: Simplify right side
    905.75x = 2,072,880.06
  5. Step 5: Solve for x
    x = 2,072,880.06/905.75
  6. Step 6: Final answer
    x = 2,288.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.