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Finding the Third Proportional to 393,568 and 861,008

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Solution

The third proportional to 393,568 and 861,008 is: 1,883,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,568 : 861,008 = 861,008 : x
  2. Step 2: Convert to fraction form
    393,568/861,008 = 861,008/x
  3. Step 3: Cross multiply
    393,568x = 861,008 × 861,008
  4. Step 4: Simplify right side
    393,568x = 741,334,776,064
  5. Step 5: Solve for x
    x = 741,334,776,064/393,568
  6. Step 6: Final answer
    x = 1,883,625.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.