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Finding the Third Proportional to 538,601.50 and 819,094

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Solution

The third proportional to 538,601.50 and 819,094 is: 1,245,661.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,601.50 : 819,094 = 819,094 : x
  2. Step 2: Convert to fraction form
    538,601.50/819,094 = 819,094/x
  3. Step 3: Cross multiply
    538,601.50x = 819,094 × 819,094
  4. Step 4: Simplify right side
    538,601.50x = 670,914,980,836
  5. Step 5: Solve for x
    x = 670,914,980,836/538,601.50
  6. Step 6: Final answer
    x = 1,245,661.18

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.