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Finding the Third Proportional to 264,321.56 and 576,286.31

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Solution

The third proportional to 264,321.56 and 576,286.31 is: 1,256,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,321.56 : 576,286.31 = 576,286.31 : x
  2. Step 2: Convert to fraction form
    264,321.56/576,286.31 = 576,286.31/x
  3. Step 3: Cross multiply
    264,321.56x = 576,286.31 × 576,286.31
  4. Step 4: Simplify right side
    264,321.56x = 332,105,913,974.85
  5. Step 5: Solve for x
    x = 332,105,913,974.85/264,321.56
  6. Step 6: Final answer
    x = 1,256,446.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.