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Finding the Third Proportional to 538,592.63 and 819,078.75

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Solution

The third proportional to 538,592.63 and 819,078.75 is: 1,245,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,592.63 : 819,078.75 = 819,078.75 : x
  2. Step 2: Convert to fraction form
    538,592.63/819,078.75 = 819,078.75/x
  3. Step 3: Cross multiply
    538,592.63x = 819,078.75 × 819,078.75
  4. Step 4: Simplify right side
    538,592.63x = 670,889,998,701.56
  5. Step 5: Solve for x
    x = 670,889,998,701.56/538,592.63
  6. Step 6: Final answer
    x = 1,245,635.32

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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.