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Finding the Third Proportional to 727.22 and 1,028.18

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Solution

The third proportional to 727.22 and 1,028.18 is: 1,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.22 : 1,028.18 = 1,028.18 : x
  2. Step 2: Convert to fraction form
    727.22/1,028.18 = 1,028.18/x
  3. Step 3: Cross multiply
    727.22x = 1,028.18 × 1,028.18
  4. Step 4: Simplify right side
    727.22x = 1,057,157.99
  5. Step 5: Solve for x
    x = 1,057,157.99/727.22
  6. Step 6: Final answer
    x = 1,453.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.