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Finding the Third Proportional to 275,183 and 562,030

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Solution

The third proportional to 275,183 and 562,030 is: 1,147,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,183 : 562,030 = 562,030 : x
  2. Step 2: Convert to fraction form
    275,183/562,030 = 562,030/x
  3. Step 3: Cross multiply
    275,183x = 562,030 × 562,030
  4. Step 4: Simplify right side
    275,183x = 315,877,720,900
  5. Step 5: Solve for x
    x = 315,877,720,900/275,183
  6. Step 6: Final answer
    x = 1,147,882.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.