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Finding the Third Proportional to 599.96 and 908.32

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Solution

The third proportional to 599.96 and 908.32 is: 1,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.96 : 908.32 = 908.32 : x
  2. Step 2: Convert to fraction form
    599.96/908.32 = 908.32/x
  3. Step 3: Cross multiply
    599.96x = 908.32 × 908.32
  4. Step 4: Simplify right side
    599.96x = 825,051.11
  5. Step 5: Solve for x
    x = 825,051.11/599.96
  6. Step 6: Final answer
    x = 1,375.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.