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Finding the Third Proportional to 270,843 and 576,677.25

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Solution

The third proportional to 270,843 and 576,677.25 is: 1,227,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,843 : 576,677.25 = 576,677.25 : x
  2. Step 2: Convert to fraction form
    270,843/576,677.25 = 576,677.25/x
  3. Step 3: Cross multiply
    270,843x = 576,677.25 × 576,677.25
  4. Step 4: Simplify right side
    270,843x = 332,556,650,667.56
  5. Step 5: Solve for x
    x = 332,556,650,667.56/270,843
  6. Step 6: Final answer
    x = 1,227,857.65

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