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Finding the Third Proportional to 416.06 and 599.34

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Solution

The third proportional to 416.06 and 599.34 is: 863.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.06 : 599.34 = 599.34 : x
  2. Step 2: Convert to fraction form
    416.06/599.34 = 599.34/x
  3. Step 3: Cross multiply
    416.06x = 599.34 × 599.34
  4. Step 4: Simplify right side
    416.06x = 359,212.93
  5. Step 5: Solve for x
    x = 359,212.93/416.06
  6. Step 6: Final answer
    x = 863.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.