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Finding the Third Proportional to 416.25 and 884.25

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Solution

The third proportional to 416.25 and 884.25 is: 1,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.25 : 884.25 = 884.25 : x
  2. Step 2: Convert to fraction form
    416.25/884.25 = 884.25/x
  3. Step 3: Cross multiply
    416.25x = 884.25 × 884.25
  4. Step 4: Simplify right side
    416.25x = 781,898.06
  5. Step 5: Solve for x
    x = 781,898.06/416.25
  6. Step 6: Final answer
    x = 1,878.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.