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Finding the Third Proportional to 337,638.80 and 515,033.44

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Solution

The third proportional to 337,638.80 and 515,033.44 is: 785,630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,638.80 : 515,033.44 = 515,033.44 : x
  2. Step 2: Convert to fraction form
    337,638.80/515,033.44 = 515,033.44/x
  3. Step 3: Cross multiply
    337,638.80x = 515,033.44 × 515,033.44
  4. Step 4: Simplify right side
    337,638.80x = 265,259,441,743.07
  5. Step 5: Solve for x
    x = 265,259,441,743.07/337,638.80
  6. Step 6: Final answer
    x = 785,630.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.