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Finding the Third Proportional to 311,448.75 and 445,368.75

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Solution

The third proportional to 311,448.75 and 445,368.75 is: 636,873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,448.75 : 445,368.75 = 445,368.75 : x
  2. Step 2: Convert to fraction form
    311,448.75/445,368.75 = 445,368.75/x
  3. Step 3: Cross multiply
    311,448.75x = 445,368.75 × 445,368.75
  4. Step 4: Simplify right side
    311,448.75x = 198,353,323,476.56
  5. Step 5: Solve for x
    x = 198,353,323,476.56/311,448.75
  6. Step 6: Final answer
    x = 636,873.08

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.