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Finding the Third Proportional to 225,929.25 and 491,217.75

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Solution

The third proportional to 225,929.25 and 491,217.75 is: 1,068,010.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,929.25 : 491,217.75 = 491,217.75 : x
  2. Step 2: Convert to fraction form
    225,929.25/491,217.75 = 491,217.75/x
  3. Step 3: Cross multiply
    225,929.25x = 491,217.75 × 491,217.75
  4. Step 4: Simplify right side
    225,929.25x = 241,294,877,915.06
  5. Step 5: Solve for x
    x = 241,294,877,915.06/225,929.25
  6. Step 6: Final answer
    x = 1,068,010.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.