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Finding the Third Proportional to 299.95 and 620.72

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Solution

The third proportional to 299.95 and 620.72 is: 1,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.95 : 620.72 = 620.72 : x
  2. Step 2: Convert to fraction form
    299.95/620.72 = 620.72/x
  3. Step 3: Cross multiply
    299.95x = 620.72 × 620.72
  4. Step 4: Simplify right side
    299.95x = 385,291.77
  5. Step 5: Solve for x
    x = 385,291.77/299.95
  6. Step 6: Final answer
    x = 1,284.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.