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Finding the Third Proportional to 603.94 and 1,454.34

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Solution

The third proportional to 603.94 and 1,454.34 is: 3,502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.94 : 1,454.34 = 1,454.34 : x
  2. Step 2: Convert to fraction form
    603.94/1,454.34 = 1,454.34/x
  3. Step 3: Cross multiply
    603.94x = 1,454.34 × 1,454.34
  4. Step 4: Simplify right side
    603.94x = 2,115,115.74
  5. Step 5: Solve for x
    x = 2,115,115.74/603.94
  6. Step 6: Final answer
    x = 3,502.21

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.