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Finding the Third Proportional to 337,704 and 737,616

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Solution

The third proportional to 337,704 and 737,616 is: 1,611,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,704 : 737,616 = 737,616 : x
  2. Step 2: Convert to fraction form
    337,704/737,616 = 737,616/x
  3. Step 3: Cross multiply
    337,704x = 737,616 × 737,616
  4. Step 4: Simplify right side
    337,704x = 544,077,363,456
  5. Step 5: Solve for x
    x = 544,077,363,456/337,704
  6. Step 6: Final answer
    x = 1,611,107.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.