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Finding the Third Proportional to 339,007.78 and 743,056.03

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Solution

The third proportional to 339,007.78 and 743,056.03 is: 1,628,671.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,007.78 : 743,056.03 = 743,056.03 : x
  2. Step 2: Convert to fraction form
    339,007.78/743,056.03 = 743,056.03/x
  3. Step 3: Cross multiply
    339,007.78x = 743,056.03 × 743,056.03
  4. Step 4: Simplify right side
    339,007.78x = 552,132,265,577.00
  5. Step 5: Solve for x
    x = 552,132,265,577.00/339,007.78
  6. Step 6: Final answer
    x = 1,628,671.36

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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.