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Finding the Third Proportional to 203,832 and 416,730

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Solution

The third proportional to 203,832 and 416,730 is: 851,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,832 : 416,730 = 416,730 : x
  2. Step 2: Convert to fraction form
    203,832/416,730 = 416,730/x
  3. Step 3: Cross multiply
    203,832x = 416,730 × 416,730
  4. Step 4: Simplify right side
    203,832x = 173,663,892,900
  5. Step 5: Solve for x
    x = 173,663,892,900/203,832
  6. Step 6: Final answer
    x = 851,995.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.