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Finding the Third Proportional to 337,720 and 534,769.50

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Solution

The third proportional to 337,720 and 534,769.50 is: 846,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,720 : 534,769.50 = 534,769.50 : x
  2. Step 2: Convert to fraction form
    337,720/534,769.50 = 534,769.50/x
  3. Step 3: Cross multiply
    337,720x = 534,769.50 × 534,769.50
  4. Step 4: Simplify right side
    337,720x = 285,978,418,130.25
  5. Step 5: Solve for x
    x = 285,978,418,130.25/337,720
  6. Step 6: Final answer
    x = 846,791.48

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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.