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Finding the Third Proportional to 277.25 and 594.25

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Solution

The third proportional to 277.25 and 594.25 is: 1,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.25 : 594.25 = 594.25 : x
  2. Step 2: Convert to fraction form
    277.25/594.25 = 594.25/x
  3. Step 3: Cross multiply
    277.25x = 594.25 × 594.25
  4. Step 4: Simplify right side
    277.25x = 353,133.06
  5. Step 5: Solve for x
    x = 353,133.06/277.25
  6. Step 6: Final answer
    x = 1,273.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.