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Finding the Third Proportional to 285 and 624.25

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Solution

The third proportional to 285 and 624.25 is: 1,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285 : 624.25 = 624.25 : x
  2. Step 2: Convert to fraction form
    285/624.25 = 624.25/x
  3. Step 3: Cross multiply
    285x = 624.25 × 624.25
  4. Step 4: Simplify right side
    285x = 389,688.06
  5. Step 5: Solve for x
    x = 389,688.06/285
  6. Step 6: Final answer
    x = 1,367.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.