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Finding the Third Proportional to 480.75 and 551.44

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Solution

The third proportional to 480.75 and 551.44 is: 632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.75 : 551.44 = 551.44 : x
  2. Step 2: Convert to fraction form
    480.75/551.44 = 551.44/x
  3. Step 3: Cross multiply
    480.75x = 551.44 × 551.44
  4. Step 4: Simplify right side
    480.75x = 304,083.32
  5. Step 5: Solve for x
    x = 304,083.32/480.75
  6. Step 6: Final answer
    x = 632.52

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.