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Finding the Third Proportional to 335,908 and 737,345

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Solution

The third proportional to 335,908 and 737,345 is: 1,618,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,908 : 737,345 = 737,345 : x
  2. Step 2: Convert to fraction form
    335,908/737,345 = 737,345/x
  3. Step 3: Cross multiply
    335,908x = 737,345 × 737,345
  4. Step 4: Simplify right side
    335,908x = 543,677,649,025
  5. Step 5: Solve for x
    x = 543,677,649,025/335,908
  6. Step 6: Final answer
    x = 1,618,531.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.