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Finding the Third Proportional to 337,220 and 733,934

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Solution

The third proportional to 337,220 and 733,934 is: 1,597,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,220 : 733,934 = 733,934 : x
  2. Step 2: Convert to fraction form
    337,220/733,934 = 733,934/x
  3. Step 3: Cross multiply
    337,220x = 733,934 × 733,934
  4. Step 4: Simplify right side
    337,220x = 538,659,116,356
  5. Step 5: Solve for x
    x = 538,659,116,356/337,220
  6. Step 6: Final answer
    x = 1,597,352.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.