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Finding the Third Proportional to 331,138 and 737,226

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Solution

The third proportional to 331,138 and 737,226 is: 1,641,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,138 : 737,226 = 737,226 : x
  2. Step 2: Convert to fraction form
    331,138/737,226 = 737,226/x
  3. Step 3: Cross multiply
    331,138x = 737,226 × 737,226
  4. Step 4: Simplify right side
    331,138x = 543,502,175,076
  5. Step 5: Solve for x
    x = 543,502,175,076/331,138
  6. Step 6: Final answer
    x = 1,641,316.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.