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Finding the Third Proportional to 285 and 453.09

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Solution

The third proportional to 285 and 453.09 is: 720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285 : 453.09 = 453.09 : x
  2. Step 2: Convert to fraction form
    285/453.09 = 453.09/x
  3. Step 3: Cross multiply
    285x = 453.09 × 453.09
  4. Step 4: Simplify right side
    285x = 205,293.95
  5. Step 5: Solve for x
    x = 205,293.95/285
  6. Step 6: Final answer
    x = 720.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.