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Finding the Third Proportional to 336,908 and 737,116

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Solution

The third proportional to 336,908 and 737,116 is: 1,612,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,908 : 737,116 = 737,116 : x
  2. Step 2: Convert to fraction form
    336,908/737,116 = 737,116/x
  3. Step 3: Cross multiply
    336,908x = 737,116 × 737,116
  4. Step 4: Simplify right side
    336,908x = 543,339,997,456
  5. Step 5: Solve for x
    x = 543,339,997,456/336,908
  6. Step 6: Final answer
    x = 1,612,725.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.