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Finding the Third Proportional to 335,954 and 737,437

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Solution

The third proportional to 335,954 and 737,437 is: 1,618,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,954 : 737,437 = 737,437 : x
  2. Step 2: Convert to fraction form
    335,954/737,437 = 737,437/x
  3. Step 3: Cross multiply
    335,954x = 737,437 × 737,437
  4. Step 4: Simplify right side
    335,954x = 543,813,328,969
  5. Step 5: Solve for x
    x = 543,813,328,969/335,954
  6. Step 6: Final answer
    x = 1,618,713.66

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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.