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Finding the Third Proportional to 337,629 and 737,997

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Solution

The third proportional to 337,629 and 737,997 is: 1,613,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,629 : 737,997 = 737,997 : x
  2. Step 2: Convert to fraction form
    337,629/737,997 = 737,997/x
  3. Step 3: Cross multiply
    337,629x = 737,997 × 737,997
  4. Step 4: Simplify right side
    337,629x = 544,639,572,009
  5. Step 5: Solve for x
    x = 544,639,572,009/337,629
  6. Step 6: Final answer
    x = 1,613,130.31

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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.