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Finding the Third Proportional to 544.94 and 1,164.69

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Solution

The third proportional to 544.94 and 1,164.69 is: 2,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.94 : 1,164.69 = 1,164.69 : x
  2. Step 2: Convert to fraction form
    544.94/1,164.69 = 1,164.69/x
  3. Step 3: Cross multiply
    544.94x = 1,164.69 × 1,164.69
  4. Step 4: Simplify right side
    544.94x = 1,356,496.97
  5. Step 5: Solve for x
    x = 1,356,496.97/544.94
  6. Step 6: Final answer
    x = 2,489.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.