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Finding the Third Proportional to 289.59 and 447.98

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Solution

The third proportional to 289.59 and 447.98 is: 693.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.59 : 447.98 = 447.98 : x
  2. Step 2: Convert to fraction form
    289.59/447.98 = 447.98/x
  3. Step 3: Cross multiply
    289.59x = 447.98 × 447.98
  4. Step 4: Simplify right side
    289.59x = 200,690.00
  5. Step 5: Solve for x
    x = 200,690.00/289.59
  6. Step 6: Final answer
    x = 693.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.