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Finding the Third Proportional to 337,892 and 734,200

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Solution

The third proportional to 337,892 and 734,200 is: 1,595,331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,892 : 734,200 = 734,200 : x
  2. Step 2: Convert to fraction form
    337,892/734,200 = 734,200/x
  3. Step 3: Cross multiply
    337,892x = 734,200 × 734,200
  4. Step 4: Simplify right side
    337,892x = 539,049,640,000
  5. Step 5: Solve for x
    x = 539,049,640,000/337,892
  6. Step 6: Final answer
    x = 1,595,331.17

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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.