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Finding the Third Proportional to 336,901 and 737,104

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Solution

The third proportional to 336,901 and 737,104 is: 1,612,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,901 : 737,104 = 737,104 : x
  2. Step 2: Convert to fraction form
    336,901/737,104 = 737,104/x
  3. Step 3: Cross multiply
    336,901x = 737,104 × 737,104
  4. Step 4: Simplify right side
    336,901x = 543,322,306,816
  5. Step 5: Solve for x
    x = 543,322,306,816/336,901
  6. Step 6: Final answer
    x = 1,612,706.13

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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.