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Finding the Third Proportional to 335,911 and 737,351

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Solution

The third proportional to 335,911 and 737,351 is: 1,618,543.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,911 : 737,351 = 737,351 : x
  2. Step 2: Convert to fraction form
    335,911/737,351 = 737,351/x
  3. Step 3: Cross multiply
    335,911x = 737,351 × 737,351
  4. Step 4: Simplify right side
    335,911x = 543,686,497,201
  5. Step 5: Solve for x
    x = 543,686,497,201/335,911
  6. Step 6: Final answer
    x = 1,618,543.30

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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.