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Finding the Third Proportional to 219,440.50 and 471,617.25

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Solution

The third proportional to 219,440.50 and 471,617.25 is: 1,013,590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,440.50 : 471,617.25 = 471,617.25 : x
  2. Step 2: Convert to fraction form
    219,440.50/471,617.25 = 471,617.25/x
  3. Step 3: Cross multiply
    219,440.50x = 471,617.25 × 471,617.25
  4. Step 4: Simplify right side
    219,440.50x = 222,422,830,497.56
  5. Step 5: Solve for x
    x = 222,422,830,497.56/219,440.50
  6. Step 6: Final answer
    x = 1,013,590.61

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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.