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Finding the Third Proportional to 859.99 and 1,093.50

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Solution

The third proportional to 859.99 and 1,093.50 is: 1,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.99 : 1,093.50 = 1,093.50 : x
  2. Step 2: Convert to fraction form
    859.99/1,093.50 = 1,093.50/x
  3. Step 3: Cross multiply
    859.99x = 1,093.50 × 1,093.50
  4. Step 4: Simplify right side
    859.99x = 1,195,742.25
  5. Step 5: Solve for x
    x = 1,195,742.25/859.99
  6. Step 6: Final answer
    x = 1,390.41

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.