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Finding the Third Proportional to 225,635 and 491,745

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Solution

The third proportional to 225,635 and 491,745 is: 1,071,700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,635 : 491,745 = 491,745 : x
  2. Step 2: Convert to fraction form
    225,635/491,745 = 491,745/x
  3. Step 3: Cross multiply
    225,635x = 491,745 × 491,745
  4. Step 4: Simplify right side
    225,635x = 241,813,145,025
  5. Step 5: Solve for x
    x = 241,813,145,025/225,635
  6. Step 6: Final answer
    x = 1,071,700.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.