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Finding the Third Proportional to 323,083.90 and 704,917.79

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Solution

The third proportional to 323,083.90 and 704,917.79 is: 1,538,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,083.90 : 704,917.79 = 704,917.79 : x
  2. Step 2: Convert to fraction form
    323,083.90/704,917.79 = 704,917.79/x
  3. Step 3: Cross multiply
    323,083.90x = 704,917.79 × 704,917.79
  4. Step 4: Simplify right side
    323,083.90x = 496,909,094,843.93
  5. Step 5: Solve for x
    x = 496,909,094,843.93/323,083.90
  6. Step 6: Final answer
    x = 1,538,018.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.