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Finding the Third Proportional to 218,934 and 471,631.50

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Solution

The third proportional to 218,934 and 471,631.50 is: 1,015,996.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,934 : 471,631.50 = 471,631.50 : x
  2. Step 2: Convert to fraction form
    218,934/471,631.50 = 471,631.50/x
  3. Step 3: Cross multiply
    218,934x = 471,631.50 × 471,631.50
  4. Step 4: Simplify right side
    218,934x = 222,436,271,792.25
  5. Step 5: Solve for x
    x = 222,436,271,792.25/218,934
  6. Step 6: Final answer
    x = 1,015,996.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.