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Finding the Third Proportional to 270,867 and 576,729

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Solution

The third proportional to 270,867 and 576,729 is: 1,227,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,867 : 576,729 = 576,729 : x
  2. Step 2: Convert to fraction form
    270,867/576,729 = 576,729/x
  3. Step 3: Cross multiply
    270,867x = 576,729 × 576,729
  4. Step 4: Simplify right side
    270,867x = 332,616,339,441
  5. Step 5: Solve for x
    x = 332,616,339,441/270,867
  6. Step 6: Final answer
    x = 1,227,969.22

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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.