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Finding the Third Proportional to 339,300.56 and 730,729.69

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Solution

The third proportional to 339,300.56 and 730,729.69 is: 1,573,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,300.56 : 730,729.69 = 730,729.69 : x
  2. Step 2: Convert to fraction form
    339,300.56/730,729.69 = 730,729.69/x
  3. Step 3: Cross multiply
    339,300.56x = 730,729.69 × 730,729.69
  4. Step 4: Simplify right side
    339,300.56x = 533,965,876,193.85
  5. Step 5: Solve for x
    x = 533,965,876,193.85/339,300.56
  6. Step 6: Final answer
    x = 1,573,725.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.