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Finding the Third Proportional to 304.25 and 654.13

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Solution

The third proportional to 304.25 and 654.13 is: 1,406.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.25 : 654.13 = 654.13 : x
  2. Step 2: Convert to fraction form
    304.25/654.13 = 654.13/x
  3. Step 3: Cross multiply
    304.25x = 654.13 × 654.13
  4. Step 4: Simplify right side
    304.25x = 427,879.52
  5. Step 5: Solve for x
    x = 427,879.52/304.25
  6. Step 6: Final answer
    x = 1,406.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.