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Finding the Third Proportional to 291.23 and 636.47

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Solution

The third proportional to 291.23 and 636.47 is: 1,390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.23 : 636.47 = 636.47 : x
  2. Step 2: Convert to fraction form
    291.23/636.47 = 636.47/x
  3. Step 3: Cross multiply
    291.23x = 636.47 × 636.47
  4. Step 4: Simplify right side
    291.23x = 405,092.47
  5. Step 5: Solve for x
    x = 405,092.47/291.23
  6. Step 6: Final answer
    x = 1,390.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.