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Finding the Third Proportional to 337,708 and 534,750

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Solution

The third proportional to 337,708 and 534,750 is: 846,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,708 : 534,750 = 534,750 : x
  2. Step 2: Convert to fraction form
    337,708/534,750 = 534,750/x
  3. Step 3: Cross multiply
    337,708x = 534,750 × 534,750
  4. Step 4: Simplify right side
    337,708x = 285,957,562,500
  5. Step 5: Solve for x
    x = 285,957,562,500/337,708
  6. Step 6: Final answer
    x = 846,759.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.