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Finding the Third Proportional to 282.94 and 579.84

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Solution

The third proportional to 282.94 and 579.84 is: 1,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.94 : 579.84 = 579.84 : x
  2. Step 2: Convert to fraction form
    282.94/579.84 = 579.84/x
  3. Step 3: Cross multiply
    282.94x = 579.84 × 579.84
  4. Step 4: Simplify right side
    282.94x = 336,218.77
  5. Step 5: Solve for x
    x = 336,218.77/282.94
  6. Step 6: Final answer
    x = 1,188.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.