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Finding the Third Proportional to 270,867 and 560,238

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Solution

The third proportional to 270,867 and 560,238 is: 1,158,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,867 : 560,238 = 560,238 : x
  2. Step 2: Convert to fraction form
    270,867/560,238 = 560,238/x
  3. Step 3: Cross multiply
    270,867x = 560,238 × 560,238
  4. Step 4: Simplify right side
    270,867x = 313,866,616,644
  5. Step 5: Solve for x
    x = 313,866,616,644/270,867
  6. Step 6: Final answer
    x = 1,158,748.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.