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Finding the Third Proportional to 319,716.33 and 683,745.05

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Solution

The third proportional to 319,716.33 and 683,745.05 is: 1,462,256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,716.33 : 683,745.05 = 683,745.05 : x
  2. Step 2: Convert to fraction form
    319,716.33/683,745.05 = 683,745.05/x
  3. Step 3: Cross multiply
    319,716.33x = 683,745.05 × 683,745.05
  4. Step 4: Simplify right side
    319,716.33x = 467,507,289,126.10
  5. Step 5: Solve for x
    x = 467,507,289,126.10/319,716.33
  6. Step 6: Final answer
    x = 1,462,256.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.