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Finding the Third Proportional to 816 and 887

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Solution

The third proportional to 816 and 887 is: 964.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    816 : 887 = 887 : x
  2. Step 2: Convert to fraction form
    816/887 = 887/x
  3. Step 3: Cross multiply
    816x = 887 × 887
  4. Step 4: Simplify right side
    816x = 786,769
  5. Step 5: Solve for x
    x = 786,769/816
  6. Step 6: Final answer
    x = 964.18

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.