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Finding the Third Proportional to 823 and 910

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Solution

The third proportional to 823 and 910 is: 1,006.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    823 : 910 = 910 : x
  2. Step 2: Convert to fraction form
    823/910 = 910/x
  3. Step 3: Cross multiply
    823x = 910 × 910
  4. Step 4: Simplify right side
    823x = 828,100
  5. Step 5: Solve for x
    x = 828,100/823
  6. Step 6: Final answer
    x = 1,006.20

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.