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Finding the Third Proportional to 338,519.25 and 737,758.13

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Solution

The third proportional to 338,519.25 and 737,758.13 is: 1,607,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,519.25 : 737,758.13 = 737,758.13 : x
  2. Step 2: Convert to fraction form
    338,519.25/737,758.13 = 737,758.13/x
  3. Step 3: Cross multiply
    338,519.25x = 737,758.13 × 737,758.13
  4. Step 4: Simplify right side
    338,519.25x = 544,287,051,003.52
  5. Step 5: Solve for x
    x = 544,287,051,003.52/338,519.25
  6. Step 6: Final answer
    x = 1,607,846.68

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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.