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Finding the Third Proportional to 816.96 and 1,233.35

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Solution

The third proportional to 816.96 and 1,233.35 is: 1,861.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.96 : 1,233.35 = 1,233.35 : x
  2. Step 2: Convert to fraction form
    816.96/1,233.35 = 1,233.35/x
  3. Step 3: Cross multiply
    816.96x = 1,233.35 × 1,233.35
  4. Step 4: Simplify right side
    816.96x = 1,521,156.08
  5. Step 5: Solve for x
    x = 1,521,156.08/816.96
  6. Step 6: Final answer
    x = 1,861.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.