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Finding the Third Proportional to 337,845 and 734,494

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Solution

The third proportional to 337,845 and 734,494 is: 1,596,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,845 : 734,494 = 734,494 : x
  2. Step 2: Convert to fraction form
    337,845/734,494 = 734,494/x
  3. Step 3: Cross multiply
    337,845x = 734,494 × 734,494
  4. Step 4: Simplify right side
    337,845x = 539,481,436,036
  5. Step 5: Solve for x
    x = 539,481,436,036/337,845
  6. Step 6: Final answer
    x = 1,596,831.20

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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.