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Finding the Third Proportional to 836.75 and 898.25

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Solution

The third proportional to 836.75 and 898.25 is: 964.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.75 : 898.25 = 898.25 : x
  2. Step 2: Convert to fraction form
    836.75/898.25 = 898.25/x
  3. Step 3: Cross multiply
    836.75x = 898.25 × 898.25
  4. Step 4: Simplify right side
    836.75x = 806,853.06
  5. Step 5: Solve for x
    x = 806,853.06/836.75
  6. Step 6: Final answer
    x = 964.27

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.