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Finding the Third Proportional to 337,105.50 and 724,242

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Solution

The third proportional to 337,105.50 and 724,242 is: 1,555,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,105.50 : 724,242 = 724,242 : x
  2. Step 2: Convert to fraction form
    337,105.50/724,242 = 724,242/x
  3. Step 3: Cross multiply
    337,105.50x = 724,242 × 724,242
  4. Step 4: Simplify right side
    337,105.50x = 524,526,474,564
  5. Step 5: Solve for x
    x = 524,526,474,564/337,105.50
  6. Step 6: Final answer
    x = 1,555,971.27

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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.