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Finding the Third Proportional to 427.75 and 685.88

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Solution

The third proportional to 427.75 and 685.88 is: 1,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.75 : 685.88 = 685.88 : x
  2. Step 2: Convert to fraction form
    427.75/685.88 = 685.88/x
  3. Step 3: Cross multiply
    427.75x = 685.88 × 685.88
  4. Step 4: Simplify right side
    427.75x = 470,424.52
  5. Step 5: Solve for x
    x = 470,424.52/427.75
  6. Step 6: Final answer
    x = 1,099.77

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.