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Finding the Third Proportional to 241,465.50 and 476,847

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Solution

The third proportional to 241,465.50 and 476,847 is: 941,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,465.50 : 476,847 = 476,847 : x
  2. Step 2: Convert to fraction form
    241,465.50/476,847 = 476,847/x
  3. Step 3: Cross multiply
    241,465.50x = 476,847 × 476,847
  4. Step 4: Simplify right side
    241,465.50x = 227,383,061,409
  5. Step 5: Solve for x
    x = 227,383,061,409/241,465.50
  6. Step 6: Final answer
    x = 941,679.29

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.