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Finding the Third Proportional to 884.81 and 1,276.03

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Solution

The third proportional to 884.81 and 1,276.03 is: 1,840.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.81 : 1,276.03 = 1,276.03 : x
  2. Step 2: Convert to fraction form
    884.81/1,276.03 = 1,276.03/x
  3. Step 3: Cross multiply
    884.81x = 1,276.03 × 1,276.03
  4. Step 4: Simplify right side
    884.81x = 1,628,255.75
  5. Step 5: Solve for x
    x = 1,628,255.75/884.81
  6. Step 6: Final answer
    x = 1,840.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.