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Finding the Third Proportional to 398.95 and 598.99

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Solution

The third proportional to 398.95 and 598.99 is: 899.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.95 : 598.99 = 598.99 : x
  2. Step 2: Convert to fraction form
    398.95/598.99 = 598.99/x
  3. Step 3: Cross multiply
    398.95x = 598.99 × 598.99
  4. Step 4: Simplify right side
    398.95x = 358,791.64
  5. Step 5: Solve for x
    x = 358,791.64/398.95
  6. Step 6: Final answer
    x = 899.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.