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Finding the Third Proportional to 264,414.38 and 576,456.75

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Solution

The third proportional to 264,414.38 and 576,456.75 is: 1,256,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,414.38 : 576,456.75 = 576,456.75 : x
  2. Step 2: Convert to fraction form
    264,414.38/576,456.75 = 576,456.75/x
  3. Step 3: Cross multiply
    264,414.38x = 576,456.75 × 576,456.75
  4. Step 4: Simplify right side
    264,414.38x = 332,302,384,620.56
  5. Step 5: Solve for x
    x = 332,302,384,620.56/264,414.38
  6. Step 6: Final answer
    x = 1,256,748.56

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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.