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Finding the Third Proportional to 197,776 and 435,896

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Solution

The third proportional to 197,776 and 435,896 is: 960,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,776 : 435,896 = 435,896 : x
  2. Step 2: Convert to fraction form
    197,776/435,896 = 435,896/x
  3. Step 3: Cross multiply
    197,776x = 435,896 × 435,896
  4. Step 4: Simplify right side
    197,776x = 190,005,322,816
  5. Step 5: Solve for x
    x = 190,005,322,816/197,776
  6. Step 6: Final answer
    x = 960,709.71

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Why These Related Problems?

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