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Finding the Third Proportional to 283.92 and 620.58

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Solution

The third proportional to 283.92 and 620.58 is: 1,356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.92 : 620.58 = 620.58 : x
  2. Step 2: Convert to fraction form
    283.92/620.58 = 620.58/x
  3. Step 3: Cross multiply
    283.92x = 620.58 × 620.58
  4. Step 4: Simplify right side
    283.92x = 385,117.21
  5. Step 5: Solve for x
    x = 385,117.21/283.92
  6. Step 6: Final answer
    x = 1,356.42

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Why These Related Problems?

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