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Finding the Third Proportional to 259,385.63 and 557,519.63

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Solution

The third proportional to 259,385.63 and 557,519.63 is: 1,198,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,385.63 : 557,519.63 = 557,519.63 : x
  2. Step 2: Convert to fraction form
    259,385.63/557,519.63 = 557,519.63/x
  3. Step 3: Cross multiply
    259,385.63x = 557,519.63 × 557,519.63
  4. Step 4: Simplify right side
    259,385.63x = 310,828,132,260.14
  5. Step 5: Solve for x
    x = 310,828,132,260.14/259,385.63
  6. Step 6: Final answer
    x = 1,198,324.43

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