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Finding the Third Proportional to 218,977 and 475,132.75

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Solution

The third proportional to 218,977 and 475,132.75 is: 1,030,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,977 : 475,132.75 = 475,132.75 : x
  2. Step 2: Convert to fraction form
    218,977/475,132.75 = 475,132.75/x
  3. Step 3: Cross multiply
    218,977x = 475,132.75 × 475,132.75
  4. Step 4: Simplify right side
    218,977x = 225,751,130,122.56
  5. Step 5: Solve for x
    x = 225,751,130,122.56/218,977
  6. Step 6: Final answer
    x = 1,030,935.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.