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Finding the Third Proportional to 337,108 and 724,244

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Solution

The third proportional to 337,108 and 724,244 is: 1,555,968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,108 : 724,244 = 724,244 : x
  2. Step 2: Convert to fraction form
    337,108/724,244 = 724,244/x
  3. Step 3: Cross multiply
    337,108x = 724,244 × 724,244
  4. Step 4: Simplify right side
    337,108x = 524,529,371,536
  5. Step 5: Solve for x
    x = 524,529,371,536/337,108
  6. Step 6: Final answer
    x = 1,555,968.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.