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Finding the Third Proportional to 544.64 and 822.23

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Solution

The third proportional to 544.64 and 822.23 is: 1,241.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.64 : 822.23 = 822.23 : x
  2. Step 2: Convert to fraction form
    544.64/822.23 = 822.23/x
  3. Step 3: Cross multiply
    544.64x = 822.23 × 822.23
  4. Step 4: Simplify right side
    544.64x = 676,069.37
  5. Step 5: Solve for x
    x = 676,069.37/544.64
  6. Step 6: Final answer
    x = 1,241.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.