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Finding the Third Proportional to 203,830 and 416,726

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Solution

The third proportional to 203,830 and 416,726 is: 851,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,830 : 416,726 = 416,726 : x
  2. Step 2: Convert to fraction form
    203,830/416,726 = 416,726/x
  3. Step 3: Cross multiply
    203,830x = 416,726 × 416,726
  4. Step 4: Simplify right side
    203,830x = 173,660,559,076
  5. Step 5: Solve for x
    x = 173,660,559,076/203,830
  6. Step 6: Final answer
    x = 851,987.24

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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.