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Finding the Third Proportional to 354,299.63 and 538,010.44

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Solution

The third proportional to 354,299.63 and 538,010.44 is: 816,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,299.63 : 538,010.44 = 538,010.44 : x
  2. Step 2: Convert to fraction form
    354,299.63/538,010.44 = 538,010.44/x
  3. Step 3: Cross multiply
    354,299.63x = 538,010.44 × 538,010.44
  4. Step 4: Simplify right side
    354,299.63x = 289,455,230,858.94
  5. Step 5: Solve for x
    x = 289,455,230,858.94/354,299.63
  6. Step 6: Final answer
    x = 816,978.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.