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Finding the Third Proportional to 269,809.50 and 389,796

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Solution

The third proportional to 269,809.50 and 389,796 is: 563,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,809.50 : 389,796 = 389,796 : x
  2. Step 2: Convert to fraction form
    269,809.50/389,796 = 389,796/x
  3. Step 3: Cross multiply
    269,809.50x = 389,796 × 389,796
  4. Step 4: Simplify right side
    269,809.50x = 151,940,921,616
  5. Step 5: Solve for x
    x = 151,940,921,616/269,809.50
  6. Step 6: Final answer
    x = 563,141.48

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.