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Finding the Third Proportional to 197,780 and 435,904

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Solution

The third proportional to 197,780 and 435,904 is: 960,725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,780 : 435,904 = 435,904 : x
  2. Step 2: Convert to fraction form
    197,780/435,904 = 435,904/x
  3. Step 3: Cross multiply
    197,780x = 435,904 × 435,904
  4. Step 4: Simplify right side
    197,780x = 190,012,297,216
  5. Step 5: Solve for x
    x = 190,012,297,216/197,780
  6. Step 6: Final answer
    x = 960,725.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.