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Finding the Third Proportional to 286,162 and 622,078

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Solution

The third proportional to 286,162 and 622,078 is: 1,352,314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,162 : 622,078 = 622,078 : x
  2. Step 2: Convert to fraction form
    286,162/622,078 = 622,078/x
  3. Step 3: Cross multiply
    286,162x = 622,078 × 622,078
  4. Step 4: Simplify right side
    286,162x = 386,981,038,084
  5. Step 5: Solve for x
    x = 386,981,038,084/286,162
  6. Step 6: Final answer
    x = 1,352,314.56

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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.