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Finding the Third Proportional to 287.44 and 411.84

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Solution

The third proportional to 287.44 and 411.84 is: 590.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.44 : 411.84 = 411.84 : x
  2. Step 2: Convert to fraction form
    287.44/411.84 = 411.84/x
  3. Step 3: Cross multiply
    287.44x = 411.84 × 411.84
  4. Step 4: Simplify right side
    287.44x = 169,615.27
  5. Step 5: Solve for x
    x = 169,615.27/287.44
  6. Step 6: Final answer
    x = 590.09

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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.