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Finding the Third Proportional to 213,922 and 328,843

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Solution

The third proportional to 213,922 and 328,843 is: 505,500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,922 : 328,843 = 328,843 : x
  2. Step 2: Convert to fraction form
    213,922/328,843 = 328,843/x
  3. Step 3: Cross multiply
    213,922x = 328,843 × 328,843
  4. Step 4: Simplify right side
    213,922x = 108,137,718,649
  5. Step 5: Solve for x
    x = 108,137,718,649/213,922
  6. Step 6: Final answer
    x = 505,500.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.