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Finding the Third Proportional to 337,600 and 737,935

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Solution

The third proportional to 337,600 and 737,935 is: 1,612,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,600 : 737,935 = 737,935 : x
  2. Step 2: Convert to fraction form
    337,600/737,935 = 737,935/x
  3. Step 3: Cross multiply
    337,600x = 737,935 × 737,935
  4. Step 4: Simplify right side
    337,600x = 544,548,064,225
  5. Step 5: Solve for x
    x = 544,548,064,225/337,600
  6. Step 6: Final answer
    x = 1,612,997.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.