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Finding the Third Proportional to 304.80 and 435.59

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Solution

The third proportional to 304.80 and 435.59 is: 622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.80 : 435.59 = 435.59 : x
  2. Step 2: Convert to fraction form
    304.80/435.59 = 435.59/x
  3. Step 3: Cross multiply
    304.80x = 435.59 × 435.59
  4. Step 4: Simplify right side
    304.80x = 189,735.11
  5. Step 5: Solve for x
    x = 189,735.11/304.80
  6. Step 6: Final answer
    x = 622.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.