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Finding the Third Proportional to 337,722 and 534,773

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Solution

The third proportional to 337,722 and 534,773 is: 846,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,722 : 534,773 = 534,773 : x
  2. Step 2: Convert to fraction form
    337,722/534,773 = 534,773/x
  3. Step 3: Cross multiply
    337,722x = 534,773 × 534,773
  4. Step 4: Simplify right side
    337,722x = 285,982,161,529
  5. Step 5: Solve for x
    x = 285,982,161,529/337,722
  6. Step 6: Final answer
    x = 846,797.55

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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.