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Finding the Third Proportional to 388,131.75 and 589,199.06

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Solution

The third proportional to 388,131.75 and 589,199.06 is: 894,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,131.75 : 589,199.06 = 589,199.06 : x
  2. Step 2: Convert to fraction form
    388,131.75/589,199.06 = 589,199.06/x
  3. Step 3: Cross multiply
    388,131.75x = 589,199.06 × 589,199.06
  4. Step 4: Simplify right side
    388,131.75x = 347,155,535,250.88
  5. Step 5: Solve for x
    x = 347,155,535,250.88/388,131.75
  6. Step 6: Final answer
    x = 894,427.05

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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.