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Finding the Third Proportional to 309,361.78 and 671,211.56

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Solution

The third proportional to 309,361.78 and 671,211.56 is: 1,456,304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,361.78 : 671,211.56 = 671,211.56 : x
  2. Step 2: Convert to fraction form
    309,361.78/671,211.56 = 671,211.56/x
  3. Step 3: Cross multiply
    309,361.78x = 671,211.56 × 671,211.56
  4. Step 4: Simplify right side
    309,361.78x = 450,524,961,633.69
  5. Step 5: Solve for x
    x = 450,524,961,633.69/309,361.78
  6. Step 6: Final answer
    x = 1,456,304.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.