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Finding the Third Proportional to 818.86 and 1,713.66

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Solution

The third proportional to 818.86 and 1,713.66 is: 3,586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.86 : 1,713.66 = 1,713.66 : x
  2. Step 2: Convert to fraction form
    818.86/1,713.66 = 1,713.66/x
  3. Step 3: Cross multiply
    818.86x = 1,713.66 × 1,713.66
  4. Step 4: Simplify right side
    818.86x = 2,936,617.74
  5. Step 5: Solve for x
    x = 2,936,617.74/818.86
  6. Step 6: Final answer
    x = 3,586.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.