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Finding the Third Proportional to 337,769 and 741,970

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Solution

The third proportional to 337,769 and 741,970 is: 1,629,869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,769 : 741,970 = 741,970 : x
  2. Step 2: Convert to fraction form
    337,769/741,970 = 741,970/x
  3. Step 3: Cross multiply
    337,769x = 741,970 × 741,970
  4. Step 4: Simplify right side
    337,769x = 550,519,480,900
  5. Step 5: Solve for x
    x = 550,519,480,900/337,769
  6. Step 6: Final answer
    x = 1,629,869.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.