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Finding the Third Proportional to 337,832 and 734,073

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Solution

The third proportional to 337,832 and 734,073 is: 1,595,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,832 : 734,073 = 734,073 : x
  2. Step 2: Convert to fraction form
    337,832/734,073 = 734,073/x
  3. Step 3: Cross multiply
    337,832x = 734,073 × 734,073
  4. Step 4: Simplify right side
    337,832x = 538,863,169,329
  5. Step 5: Solve for x
    x = 538,863,169,329/337,832
  6. Step 6: Final answer
    x = 1,595,062.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.