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Finding the Third Proportional to 289.73 and 603.47

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Solution

The third proportional to 289.73 and 603.47 is: 1,256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.73 : 603.47 = 603.47 : x
  2. Step 2: Convert to fraction form
    289.73/603.47 = 603.47/x
  3. Step 3: Cross multiply
    289.73x = 603.47 × 603.47
  4. Step 4: Simplify right side
    289.73x = 364,174.53
  5. Step 5: Solve for x
    x = 364,174.53/289.73
  6. Step 6: Final answer
    x = 1,256.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.