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Finding the Third Proportional to 351,093.59 and 755,469.68

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Solution

The third proportional to 351,093.59 and 755,469.68 is: 1,625,590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,093.59 : 755,469.68 = 755,469.68 : x
  2. Step 2: Convert to fraction form
    351,093.59/755,469.68 = 755,469.68/x
  3. Step 3: Cross multiply
    351,093.59x = 755,469.68 × 755,469.68
  4. Step 4: Simplify right side
    351,093.59x = 570,734,432,500.47
  5. Step 5: Solve for x
    x = 570,734,432,500.47/351,093.59
  6. Step 6: Final answer
    x = 1,625,590.58

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Why These Related Problems?

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