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Finding the Third Proportional to 337,518 and 734,220

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Solution

The third proportional to 337,518 and 734,220 is: 1,597,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,518 : 734,220 = 734,220 : x
  2. Step 2: Convert to fraction form
    337,518/734,220 = 734,220/x
  3. Step 3: Cross multiply
    337,518x = 734,220 × 734,220
  4. Step 4: Simplify right side
    337,518x = 539,079,008,400
  5. Step 5: Solve for x
    x = 539,079,008,400/337,518
  6. Step 6: Final answer
    x = 1,597,185.95

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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.