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Finding the Third Proportional to 291,057.75 and 636,222.38

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Solution

The third proportional to 291,057.75 and 636,222.38 is: 1,390,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,057.75 : 636,222.38 = 636,222.38 : x
  2. Step 2: Convert to fraction form
    291,057.75/636,222.38 = 636,222.38/x
  3. Step 3: Cross multiply
    291,057.75x = 636,222.38 × 636,222.38
  4. Step 4: Simplify right side
    291,057.75x = 404,778,910,450.64
  5. Step 5: Solve for x
    x = 404,778,910,450.64/291,057.75
  6. Step 6: Final answer
    x = 1,390,716.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.