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Finding the Third Proportional to 239,022 and 520,182

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Solution

The third proportional to 239,022 and 520,182 is: 1,132,068.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,022 : 520,182 = 520,182 : x
  2. Step 2: Convert to fraction form
    239,022/520,182 = 520,182/x
  3. Step 3: Cross multiply
    239,022x = 520,182 × 520,182
  4. Step 4: Simplify right side
    239,022x = 270,589,313,124
  5. Step 5: Solve for x
    x = 270,589,313,124/239,022
  6. Step 6: Final answer
    x = 1,132,068.65

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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.