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Finding the Third Proportional to 557.81 and 828.09

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Solution

The third proportional to 557.81 and 828.09 is: 1,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.81 : 828.09 = 828.09 : x
  2. Step 2: Convert to fraction form
    557.81/828.09 = 828.09/x
  3. Step 3: Cross multiply
    557.81x = 828.09 × 828.09
  4. Step 4: Simplify right side
    557.81x = 685,739.26
  5. Step 5: Solve for x
    x = 685,739.26/557.81
  6. Step 6: Final answer
    x = 1,229.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.