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Finding the Third Proportional to 414.94 and 604.31

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Solution

The third proportional to 414.94 and 604.31 is: 880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.94 : 604.31 = 604.31 : x
  2. Step 2: Convert to fraction form
    414.94/604.31 = 604.31/x
  3. Step 3: Cross multiply
    414.94x = 604.31 × 604.31
  4. Step 4: Simplify right side
    414.94x = 365,193.60
  5. Step 5: Solve for x
    x = 365,193.60/414.94
  6. Step 6: Final answer
    x = 880.12

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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.