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Finding the Third Proportional to 386,022 and 585,593

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Solution

The third proportional to 386,022 and 585,593 is: 888,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,022 : 585,593 = 585,593 : x
  2. Step 2: Convert to fraction form
    386,022/585,593 = 585,593/x
  3. Step 3: Cross multiply
    386,022x = 585,593 × 585,593
  4. Step 4: Simplify right side
    386,022x = 342,919,161,649
  5. Step 5: Solve for x
    x = 342,919,161,649/386,022
  6. Step 6: Final answer
    x = 888,340.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.