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Finding the Third Proportional to 463,327 and 739,954

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Solution

The third proportional to 463,327 and 739,954 is: 1,181,739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,327 : 739,954 = 739,954 : x
  2. Step 2: Convert to fraction form
    463,327/739,954 = 739,954/x
  3. Step 3: Cross multiply
    463,327x = 739,954 × 739,954
  4. Step 4: Simplify right side
    463,327x = 547,531,922,116
  5. Step 5: Solve for x
    x = 547,531,922,116/463,327
  6. Step 6: Final answer
    x = 1,181,739.73

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.