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Finding the Third Proportional to 274,760 and 585,812

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Solution

The third proportional to 274,760 and 585,812 is: 1,249,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,760 : 585,812 = 585,812 : x
  2. Step 2: Convert to fraction form
    274,760/585,812 = 585,812/x
  3. Step 3: Cross multiply
    274,760x = 585,812 × 585,812
  4. Step 4: Simplify right side
    274,760x = 343,175,699,344
  5. Step 5: Solve for x
    x = 343,175,699,344/274,760
  6. Step 6: Final answer
    x = 1,249,001.67

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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.