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Finding the Third Proportional to 337,969.97 and 723,915.56

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Solution

The third proportional to 337,969.97 and 723,915.56 is: 1,550,592.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,969.97 : 723,915.56 = 723,915.56 : x
  2. Step 2: Convert to fraction form
    337,969.97/723,915.56 = 723,915.56/x
  3. Step 3: Cross multiply
    337,969.97x = 723,915.56 × 723,915.56
  4. Step 4: Simplify right side
    337,969.97x = 524,053,741,629.69
  5. Step 5: Solve for x
    x = 524,053,741,629.69/337,969.97
  6. Step 6: Final answer
    x = 1,550,592.63

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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.