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Finding the Third Proportional to 228,523 and 495,181

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Solution

The third proportional to 228,523 and 495,181 is: 1,072,995.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,523 : 495,181 = 495,181 : x
  2. Step 2: Convert to fraction form
    228,523/495,181 = 495,181/x
  3. Step 3: Cross multiply
    228,523x = 495,181 × 495,181
  4. Step 4: Simplify right side
    228,523x = 245,204,222,761
  5. Step 5: Solve for x
    x = 245,204,222,761/228,523
  6. Step 6: Final answer
    x = 1,072,995.82

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Why These Related Problems?

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