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Finding the Third Proportional to 226,730 and 494,906.50

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Solution

The third proportional to 226,730 and 494,906.50 is: 1,080,282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,730 : 494,906.50 = 494,906.50 : x
  2. Step 2: Convert to fraction form
    226,730/494,906.50 = 494,906.50/x
  3. Step 3: Cross multiply
    226,730x = 494,906.50 × 494,906.50
  4. Step 4: Simplify right side
    226,730x = 244,932,443,742.25
  5. Step 5: Solve for x
    x = 244,932,443,742.25/226,730
  6. Step 6: Final answer
    x = 1,080,282.47

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