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Finding the Third Proportional to 213,711.75 and 456,027.75

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Solution

The third proportional to 213,711.75 and 456,027.75 is: 973,092.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,711.75 : 456,027.75 = 456,027.75 : x
  2. Step 2: Convert to fraction form
    213,711.75/456,027.75 = 456,027.75/x
  3. Step 3: Cross multiply
    213,711.75x = 456,027.75 × 456,027.75
  4. Step 4: Simplify right side
    213,711.75x = 207,961,308,770.06
  5. Step 5: Solve for x
    x = 207,961,308,770.06/213,711.75
  6. Step 6: Final answer
    x = 973,092.54

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.