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Finding the Third Proportional to 416.25 and 680.63

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Solution

The third proportional to 416.25 and 680.63 is: 1,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.25 : 680.63 = 680.63 : x
  2. Step 2: Convert to fraction form
    416.25/680.63 = 680.63/x
  3. Step 3: Cross multiply
    416.25x = 680.63 × 680.63
  4. Step 4: Simplify right side
    416.25x = 463,250.39
  5. Step 5: Solve for x
    x = 463,250.39/416.25
  6. Step 6: Final answer
    x = 1,112.91

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.