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Finding the Third Proportional to 339,734.25 and 740,522.25

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Solution

The third proportional to 339,734.25 and 740,522.25 is: 1,614,123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,734.25 : 740,522.25 = 740,522.25 : x
  2. Step 2: Convert to fraction form
    339,734.25/740,522.25 = 740,522.25/x
  3. Step 3: Cross multiply
    339,734.25x = 740,522.25 × 740,522.25
  4. Step 4: Simplify right side
    339,734.25x = 548,373,202,745.06
  5. Step 5: Solve for x
    x = 548,373,202,745.06/339,734.25
  6. Step 6: Final answer
    x = 1,614,123.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.