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Finding the Third Proportional to 214,926.75 and 461,571.75

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Solution

The third proportional to 214,926.75 and 461,571.75 is: 991,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,926.75 : 461,571.75 = 461,571.75 : x
  2. Step 2: Convert to fraction form
    214,926.75/461,571.75 = 461,571.75/x
  3. Step 3: Cross multiply
    214,926.75x = 461,571.75 × 461,571.75
  4. Step 4: Simplify right side
    214,926.75x = 213,048,480,398.06
  5. Step 5: Solve for x
    x = 213,048,480,398.06/214,926.75
  6. Step 6: Final answer
    x = 991,260.88

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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.