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Finding the Third Proportional to 270,212 and 585,134

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Solution

The third proportional to 270,212 and 585,134 is: 1,267,085.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,212 : 585,134 = 585,134 : x
  2. Step 2: Convert to fraction form
    270,212/585,134 = 585,134/x
  3. Step 3: Cross multiply
    270,212x = 585,134 × 585,134
  4. Step 4: Simplify right side
    270,212x = 342,381,797,956
  5. Step 5: Solve for x
    x = 342,381,797,956/270,212
  6. Step 6: Final answer
    x = 1,267,085.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.