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Finding the Third Proportional to 705.94 and 855.56

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Solution

The third proportional to 705.94 and 855.56 is: 1,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.94 : 855.56 = 855.56 : x
  2. Step 2: Convert to fraction form
    705.94/855.56 = 855.56/x
  3. Step 3: Cross multiply
    705.94x = 855.56 × 855.56
  4. Step 4: Simplify right side
    705.94x = 731,987.19
  5. Step 5: Solve for x
    x = 731,987.19/705.94
  6. Step 6: Final answer
    x = 1,036.90

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.