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Finding the Third Proportional to 289.69 and 624.94

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Solution

The third proportional to 289.69 and 624.94 is: 1,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.69 : 624.94 = 624.94 : x
  2. Step 2: Convert to fraction form
    289.69/624.94 = 624.94/x
  3. Step 3: Cross multiply
    289.69x = 624.94 × 624.94
  4. Step 4: Simplify right side
    289.69x = 390,546.88
  5. Step 5: Solve for x
    x = 390,546.88/289.69
  6. Step 6: Final answer
    x = 1,348.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.