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Finding the Third Proportional to 242,331.75 and 496,418.63

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Solution

The third proportional to 242,331.75 and 496,418.63 is: 1,016,917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,331.75 : 496,418.63 = 496,418.63 : x
  2. Step 2: Convert to fraction form
    242,331.75/496,418.63 = 496,418.63/x
  3. Step 3: Cross multiply
    242,331.75x = 496,418.63 × 496,418.63
  4. Step 4: Simplify right side
    242,331.75x = 246,431,451,246.89
  5. Step 5: Solve for x
    x = 246,431,451,246.89/242,331.75
  6. Step 6: Final answer
    x = 1,016,917.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.