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Finding the Third Proportional to 627.67 and 896.54

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Solution

The third proportional to 627.67 and 896.54 is: 1,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.67 : 896.54 = 896.54 : x
  2. Step 2: Convert to fraction form
    627.67/896.54 = 896.54/x
  3. Step 3: Cross multiply
    627.67x = 896.54 × 896.54
  4. Step 4: Simplify right side
    627.67x = 803,778.79
  5. Step 5: Solve for x
    x = 803,778.79/627.67
  6. Step 6: Final answer
    x = 1,280.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.