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Finding the Third Proportional to 344,513.25 and 517,149.56

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Solution

The third proportional to 344,513.25 and 517,149.56 is: 776,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,513.25 : 517,149.56 = 517,149.56 : x
  2. Step 2: Convert to fraction form
    344,513.25/517,149.56 = 517,149.56/x
  3. Step 3: Cross multiply
    344,513.25x = 517,149.56 × 517,149.56
  4. Step 4: Simplify right side
    344,513.25x = 267,443,669,993.94
  5. Step 5: Solve for x
    x = 267,443,669,993.94/344,513.25
  6. Step 6: Final answer
    x = 776,294.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.