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Finding the Third Proportional to 282.52 and 583.17

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Solution

The third proportional to 282.52 and 583.17 is: 1,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.52 : 583.17 = 583.17 : x
  2. Step 2: Convert to fraction form
    282.52/583.17 = 583.17/x
  3. Step 3: Cross multiply
    282.52x = 583.17 × 583.17
  4. Step 4: Simplify right side
    282.52x = 340,089.44
  5. Step 5: Solve for x
    x = 340,089.44/282.52
  6. Step 6: Final answer
    x = 1,203.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.