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Finding the Third Proportional to 218,349 and 471,757.50

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Solution

The third proportional to 218,349 and 471,757.50 is: 1,019,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,349 : 471,757.50 = 471,757.50 : x
  2. Step 2: Convert to fraction form
    218,349/471,757.50 = 471,757.50/x
  3. Step 3: Cross multiply
    218,349x = 471,757.50 × 471,757.50
  4. Step 4: Simplify right side
    218,349x = 222,555,138,806.25
  5. Step 5: Solve for x
    x = 222,555,138,806.25/218,349
  6. Step 6: Final answer
    x = 1,019,263.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.