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Finding the Third Proportional to 603.07 and 905.87

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Solution

The third proportional to 603.07 and 905.87 is: 1,360.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.07 : 905.87 = 905.87 : x
  2. Step 2: Convert to fraction form
    603.07/905.87 = 905.87/x
  3. Step 3: Cross multiply
    603.07x = 905.87 × 905.87
  4. Step 4: Simplify right side
    603.07x = 820,602.44
  5. Step 5: Solve for x
    x = 820,602.44/603.07
  6. Step 6: Final answer
    x = 1,360.71

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Why These Related Problems?

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