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Finding the Third Proportional to 554.44 and 611.81

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Solution

The third proportional to 554.44 and 611.81 is: 675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.44 : 611.81 = 611.81 : x
  2. Step 2: Convert to fraction form
    554.44/611.81 = 611.81/x
  3. Step 3: Cross multiply
    554.44x = 611.81 × 611.81
  4. Step 4: Simplify right side
    554.44x = 374,314.54
  5. Step 5: Solve for x
    x = 374,314.54/554.44
  6. Step 6: Final answer
    x = 675.12

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.