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Finding the Third Proportional to 241,854.19 and 512,520.75

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Solution

The third proportional to 241,854.19 and 512,520.75 is: 1,086,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,854.19 : 512,520.75 = 512,520.75 : x
  2. Step 2: Convert to fraction form
    241,854.19/512,520.75 = 512,520.75/x
  3. Step 3: Cross multiply
    241,854.19x = 512,520.75 × 512,520.75
  4. Step 4: Simplify right side
    241,854.19x = 262,677,519,180.56
  5. Step 5: Solve for x
    x = 262,677,519,180.56/241,854.19
  6. Step 6: Final answer
    x = 1,086,098.70

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.