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Finding the Third Proportional to 408 and 498

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Solution

The third proportional to 408 and 498 is: 607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408 : 498 = 498 : x
  2. Step 2: Convert to fraction form
    408/498 = 498/x
  3. Step 3: Cross multiply
    408x = 498 × 498
  4. Step 4: Simplify right side
    408x = 248,004
  5. Step 5: Solve for x
    x = 248,004/408
  6. Step 6: Final answer
    x = 607.85

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.