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Finding the Third Proportional to 310,622 and 672,022

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Solution

The third proportional to 310,622 and 672,022 is: 1,453,900.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,622 : 672,022 = 672,022 : x
  2. Step 2: Convert to fraction form
    310,622/672,022 = 672,022/x
  3. Step 3: Cross multiply
    310,622x = 672,022 × 672,022
  4. Step 4: Simplify right side
    310,622x = 451,613,568,484
  5. Step 5: Solve for x
    x = 451,613,568,484/310,622
  6. Step 6: Final answer
    x = 1,453,900.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.