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Finding the Third Proportional to 270,869 and 576,733

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Solution

The third proportional to 270,869 and 576,733 is: 1,227,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,869 : 576,733 = 576,733 : x
  2. Step 2: Convert to fraction form
    270,869/576,733 = 576,733/x
  3. Step 3: Cross multiply
    270,869x = 576,733 × 576,733
  4. Step 4: Simplify right side
    270,869x = 332,620,953,289
  5. Step 5: Solve for x
    x = 332,620,953,289/270,869
  6. Step 6: Final answer
    x = 1,227,977.19

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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.