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Finding the Third Proportional to 285 and 427.75

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Solution

The third proportional to 285 and 427.75 is: 642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285 : 427.75 = 427.75 : x
  2. Step 2: Convert to fraction form
    285/427.75 = 427.75/x
  3. Step 3: Cross multiply
    285x = 427.75 × 427.75
  4. Step 4: Simplify right side
    285x = 182,970.06
  5. Step 5: Solve for x
    x = 182,970.06/285
  6. Step 6: Final answer
    x = 642.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.