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Finding the Third Proportional to 538,600.13 and 819,093.38

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Solution

The third proportional to 538,600.13 and 819,093.38 is: 1,245,662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,600.13 : 819,093.38 = 819,093.38 : x
  2. Step 2: Convert to fraction form
    538,600.13/819,093.38 = 819,093.38/x
  3. Step 3: Cross multiply
    538,600.13x = 819,093.38 × 819,093.38
  4. Step 4: Simplify right side
    538,600.13x = 670,913,956,968.89
  5. Step 5: Solve for x
    x = 670,913,956,968.89/538,600.13
  6. Step 6: Final answer
    x = 1,245,662.46

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Why These Related Problems?

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