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Finding the Third Proportional to 197,505 and 437,716.50

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Solution

The third proportional to 197,505 and 437,716.50 is: 970,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,505 : 437,716.50 = 437,716.50 : x
  2. Step 2: Convert to fraction form
    197,505/437,716.50 = 437,716.50/x
  3. Step 3: Cross multiply
    197,505x = 437,716.50 × 437,716.50
  4. Step 4: Simplify right side
    197,505x = 191,595,734,372.25
  5. Step 5: Solve for x
    x = 191,595,734,372.25/197,505
  6. Step 6: Final answer
    x = 970,080.43

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.