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Finding the Third Proportional to 320,930.86 and 496,671.12

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Solution

The third proportional to 320,930.86 and 496,671.12 is: 768,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,930.86 : 496,671.12 = 496,671.12 : x
  2. Step 2: Convert to fraction form
    320,930.86/496,671.12 = 496,671.12/x
  3. Step 3: Cross multiply
    320,930.86x = 496,671.12 × 496,671.12
  4. Step 4: Simplify right side
    320,930.86x = 246,682,198,648.28
  5. Step 5: Solve for x
    x = 246,682,198,648.28/320,930.86
  6. Step 6: Final answer
    x = 768,645.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.