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Finding the Third Proportional to 282.63 and 618.38

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Solution

The third proportional to 282.63 and 618.38 is: 1,352.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.63 : 618.38 = 618.38 : x
  2. Step 2: Convert to fraction form
    282.63/618.38 = 618.38/x
  3. Step 3: Cross multiply
    282.63x = 618.38 × 618.38
  4. Step 4: Simplify right side
    282.63x = 382,387.64
  5. Step 5: Solve for x
    x = 382,387.64/282.63
  6. Step 6: Final answer
    x = 1,352.99

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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.