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Finding the Third Proportional to 337,768 and 737,744

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Solution

The third proportional to 337,768 and 737,744 is: 1,611,361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,768 : 737,744 = 737,744 : x
  2. Step 2: Convert to fraction form
    337,768/737,744 = 737,744/x
  3. Step 3: Cross multiply
    337,768x = 737,744 × 737,744
  4. Step 4: Simplify right side
    337,768x = 544,266,209,536
  5. Step 5: Solve for x
    x = 544,266,209,536/337,768
  6. Step 6: Final answer
    x = 1,611,361.08

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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.