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Finding the Third Proportional to 416.25 and 914.06

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Solution

The third proportional to 416.25 and 914.06 is: 2,007.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.25 : 914.06 = 914.06 : x
  2. Step 2: Convert to fraction form
    416.25/914.06 = 914.06/x
  3. Step 3: Cross multiply
    416.25x = 914.06 × 914.06
  4. Step 4: Simplify right side
    416.25x = 835,510.25
  5. Step 5: Solve for x
    x = 835,510.25/416.25
  6. Step 6: Final answer
    x = 2,007.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.