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Finding the Third Proportional to 538,413 and 844,729.88

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Solution

The third proportional to 538,413 and 844,729.88 is: 1,325,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,413 : 844,729.88 = 844,729.88 : x
  2. Step 2: Convert to fraction form
    538,413/844,729.88 = 844,729.88/x
  3. Step 3: Cross multiply
    538,413x = 844,729.88 × 844,729.88
  4. Step 4: Simplify right side
    538,413x = 713,568,561,717.52
  5. Step 5: Solve for x
    x = 713,568,561,717.52/538,413
  6. Step 6: Final answer
    x = 1,325,318.23

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.