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Finding the Third Proportional to 338,645.25 and 735,671.25

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Solution

The third proportional to 338,645.25 and 735,671.25 is: 1,598,168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,645.25 : 735,671.25 = 735,671.25 : x
  2. Step 2: Convert to fraction form
    338,645.25/735,671.25 = 735,671.25/x
  3. Step 3: Cross multiply
    338,645.25x = 735,671.25 × 735,671.25
  4. Step 4: Simplify right side
    338,645.25x = 541,212,188,076.56
  5. Step 5: Solve for x
    x = 541,212,188,076.56/338,645.25
  6. Step 6: Final answer
    x = 1,598,168.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.