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Finding the Third Proportional to 280,072.69 and 437,604.19

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Solution

The third proportional to 280,072.69 and 437,604.19 is: 683,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,072.69 : 437,604.19 = 437,604.19 : x
  2. Step 2: Convert to fraction form
    280,072.69/437,604.19 = 437,604.19/x
  3. Step 3: Cross multiply
    280,072.69x = 437,604.19 × 437,604.19
  4. Step 4: Simplify right side
    280,072.69x = 191,497,424,917.54
  5. Step 5: Solve for x
    x = 191,497,424,917.54/280,072.69
  6. Step 6: Final answer
    x = 683,741.88

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.