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Finding the Third Proportional to 234,608 and 511,568

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Solution

The third proportional to 234,608 and 511,568 is: 1,115,485.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,608 : 511,568 = 511,568 : x
  2. Step 2: Convert to fraction form
    234,608/511,568 = 511,568/x
  3. Step 3: Cross multiply
    234,608x = 511,568 × 511,568
  4. Step 4: Simplify right side
    234,608x = 261,701,818,624
  5. Step 5: Solve for x
    x = 261,701,818,624/234,608
  6. Step 6: Final answer
    x = 1,115,485.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.