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Finding the Third Proportional to 270,150 and 576,756

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Solution

The third proportional to 270,150 and 576,756 is: 1,231,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,150 : 576,756 = 576,756 : x
  2. Step 2: Convert to fraction form
    270,150/576,756 = 576,756/x
  3. Step 3: Cross multiply
    270,150x = 576,756 × 576,756
  4. Step 4: Simplify right side
    270,150x = 332,647,483,536
  5. Step 5: Solve for x
    x = 332,647,483,536/270,150
  6. Step 6: Final answer
    x = 1,231,343.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.