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Finding the Third Proportional to 484.75 and 556.75

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Solution

The third proportional to 484.75 and 556.75 is: 639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.75 : 556.75 = 556.75 : x
  2. Step 2: Convert to fraction form
    484.75/556.75 = 556.75/x
  3. Step 3: Cross multiply
    484.75x = 556.75 × 556.75
  4. Step 4: Simplify right side
    484.75x = 309,970.56
  5. Step 5: Solve for x
    x = 309,970.56/484.75
  6. Step 6: Final answer
    x = 639.44

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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.