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Finding the Third Proportional to 277.25 and 603.75

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Solution

The third proportional to 277.25 and 603.75 is: 1,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.25 : 603.75 = 603.75 : x
  2. Step 2: Convert to fraction form
    277.25/603.75 = 603.75/x
  3. Step 3: Cross multiply
    277.25x = 603.75 × 603.75
  4. Step 4: Simplify right side
    277.25x = 364,514.06
  5. Step 5: Solve for x
    x = 364,514.06/277.25
  6. Step 6: Final answer
    x = 1,314.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.