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Finding the Third Proportional to 228,922 and 336,531

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Solution

The third proportional to 228,922 and 336,531 is: 494,723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,922 : 336,531 = 336,531 : x
  2. Step 2: Convert to fraction form
    228,922/336,531 = 336,531/x
  3. Step 3: Cross multiply
    228,922x = 336,531 × 336,531
  4. Step 4: Simplify right side
    228,922x = 113,253,113,961
  5. Step 5: Solve for x
    x = 113,253,113,961/228,922
  6. Step 6: Final answer
    x = 494,723.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.