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Finding the Third Proportional to 538,744 and 806,632

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Solution

The third proportional to 538,744 and 806,632 is: 1,207,726.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,744 : 806,632 = 806,632 : x
  2. Step 2: Convert to fraction form
    538,744/806,632 = 806,632/x
  3. Step 3: Cross multiply
    538,744x = 806,632 × 806,632
  4. Step 4: Simplify right side
    538,744x = 650,655,183,424
  5. Step 5: Solve for x
    x = 650,655,183,424/538,744
  6. Step 6: Final answer
    x = 1,207,726.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.