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Finding the Third Proportional to 304.75 and 675.50

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Solution

The third proportional to 304.75 and 675.50 is: 1,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.75 : 675.50 = 675.50 : x
  2. Step 2: Convert to fraction form
    304.75/675.50 = 675.50/x
  3. Step 3: Cross multiply
    304.75x = 675.50 × 675.50
  4. Step 4: Simplify right side
    304.75x = 456,300.25
  5. Step 5: Solve for x
    x = 456,300.25/304.75
  6. Step 6: Final answer
    x = 1,497.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.