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Finding the Third Proportional to 205,322 and 445,716

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Solution

The third proportional to 205,322 and 445,716 is: 967,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,322 : 445,716 = 445,716 : x
  2. Step 2: Convert to fraction form
    205,322/445,716 = 445,716/x
  3. Step 3: Cross multiply
    205,322x = 445,716 × 445,716
  4. Step 4: Simplify right side
    205,322x = 198,662,752,656
  5. Step 5: Solve for x
    x = 198,662,752,656/205,322
  6. Step 6: Final answer
    x = 967,566.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.