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Finding the Third Proportional to 252.21 and 599.84

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Solution

The third proportional to 252.21 and 599.84 is: 1,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.21 : 599.84 = 599.84 : x
  2. Step 2: Convert to fraction form
    252.21/599.84 = 599.84/x
  3. Step 3: Cross multiply
    252.21x = 599.84 × 599.84
  4. Step 4: Simplify right side
    252.21x = 359,803.15
  5. Step 5: Solve for x
    x = 359,803.15/252.21
  6. Step 6: Final answer
    x = 1,426.60

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.