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Finding the Third Proportional to 339,482.81 and 737,351.44

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Solution

The third proportional to 339,482.81 and 737,351.44 is: 1,601,515.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,482.81 : 737,351.44 = 737,351.44 : x
  2. Step 2: Convert to fraction form
    339,482.81/737,351.44 = 737,351.44/x
  3. Step 3: Cross multiply
    339,482.81x = 737,351.44 × 737,351.44
  4. Step 4: Simplify right side
    339,482.81x = 543,687,142,383.32
  5. Step 5: Solve for x
    x = 543,687,142,383.32/339,482.81
  6. Step 6: Final answer
    x = 1,601,515.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.