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Finding the Third Proportional to 828.50 and 1,471.75

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Solution

The third proportional to 828.50 and 1,471.75 is: 2,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.50 : 1,471.75 = 1,471.75 : x
  2. Step 2: Convert to fraction form
    828.50/1,471.75 = 1,471.75/x
  3. Step 3: Cross multiply
    828.50x = 1,471.75 × 1,471.75
  4. Step 4: Simplify right side
    828.50x = 2,166,048.06
  5. Step 5: Solve for x
    x = 2,166,048.06/828.50
  6. Step 6: Final answer
    x = 2,614.42

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.