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Finding the Third Proportional to 337,614 and 534,609

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Solution

The third proportional to 337,614 and 534,609 is: 846,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,614 : 534,609 = 534,609 : x
  2. Step 2: Convert to fraction form
    337,614/534,609 = 534,609/x
  3. Step 3: Cross multiply
    337,614x = 534,609 × 534,609
  4. Step 4: Simplify right side
    337,614x = 285,806,782,881
  5. Step 5: Solve for x
    x = 285,806,782,881/337,614
  6. Step 6: Final answer
    x = 846,548.97

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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.