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Finding the Third Proportional to 197,320.50 and 434,007

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Solution

The third proportional to 197,320.50 and 434,007 is: 954,599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,320.50 : 434,007 = 434,007 : x
  2. Step 2: Convert to fraction form
    197,320.50/434,007 = 434,007/x
  3. Step 3: Cross multiply
    197,320.50x = 434,007 × 434,007
  4. Step 4: Simplify right side
    197,320.50x = 188,362,076,049
  5. Step 5: Solve for x
    x = 188,362,076,049/197,320.50
  6. Step 6: Final answer
    x = 954,599.63

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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.