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Finding the Third Proportional to 219,453 and 471,643.50

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Solution

The third proportional to 219,453 and 471,643.50 is: 1,013,645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,453 : 471,643.50 = 471,643.50 : x
  2. Step 2: Convert to fraction form
    219,453/471,643.50 = 471,643.50/x
  3. Step 3: Cross multiply
    219,453x = 471,643.50 × 471,643.50
  4. Step 4: Simplify right side
    219,453x = 222,447,591,092.25
  5. Step 5: Solve for x
    x = 222,447,591,092.25/219,453
  6. Step 6: Final answer
    x = 1,013,645.71

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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.