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Finding the Third Proportional to 337,602 and 737,939

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Solution

The third proportional to 337,602 and 737,939 is: 1,613,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,602 : 737,939 = 737,939 : x
  2. Step 2: Convert to fraction form
    337,602/737,939 = 737,939/x
  3. Step 3: Cross multiply
    337,602x = 737,939 × 737,939
  4. Step 4: Simplify right side
    337,602x = 544,553,967,721
  5. Step 5: Solve for x
    x = 544,553,967,721/337,602
  6. Step 6: Final answer
    x = 1,613,005.75

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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.