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Finding the Third Proportional to 337,602 and 737,938

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Solution

The third proportional to 337,602 and 737,938 is: 1,613,001.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,602 : 737,938 = 737,938 : x
  2. Step 2: Convert to fraction form
    337,602/737,938 = 737,938/x
  3. Step 3: Cross multiply
    337,602x = 737,938 × 737,938
  4. Step 4: Simplify right side
    337,602x = 544,552,491,844
  5. Step 5: Solve for x
    x = 544,552,491,844/337,602
  6. Step 6: Final answer
    x = 1,613,001.38

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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.