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Finding the Third Proportional to 338,199.05 and 535,131.56

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Solution

The third proportional to 338,199.05 and 535,131.56 is: 846,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,199.05 : 535,131.56 = 535,131.56 : x
  2. Step 2: Convert to fraction form
    338,199.05/535,131.56 = 535,131.56/x
  3. Step 3: Cross multiply
    338,199.05x = 535,131.56 × 535,131.56
  4. Step 4: Simplify right side
    338,199.05x = 286,365,789,183.69
  5. Step 5: Solve for x
    x = 286,365,789,183.69/338,199.05
  6. Step 6: Final answer
    x = 846,737.42

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.