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Finding the Third Proportional to 335,942 and 737,412

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Solution

The third proportional to 335,942 and 737,412 is: 1,618,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,942 : 737,412 = 737,412 : x
  2. Step 2: Convert to fraction form
    335,942/737,412 = 737,412/x
  3. Step 3: Cross multiply
    335,942x = 737,412 × 737,412
  4. Step 4: Simplify right side
    335,942x = 543,776,457,744
  5. Step 5: Solve for x
    x = 543,776,457,744/335,942
  6. Step 6: Final answer
    x = 1,618,661.73

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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.