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Finding the Third Proportional to 414.42 and 603.49

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Solution

The third proportional to 414.42 and 603.49 is: 878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.42 : 603.49 = 603.49 : x
  2. Step 2: Convert to fraction form
    414.42/603.49 = 603.49/x
  3. Step 3: Cross multiply
    414.42x = 603.49 × 603.49
  4. Step 4: Simplify right side
    414.42x = 364,202.82
  5. Step 5: Solve for x
    x = 364,202.82/414.42
  6. Step 6: Final answer
    x = 878.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.