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Finding the Third Proportional to 228,963 and 336,819

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Solution

The third proportional to 228,963 and 336,819 is: 495,481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,963 : 336,819 = 336,819 : x
  2. Step 2: Convert to fraction form
    228,963/336,819 = 336,819/x
  3. Step 3: Cross multiply
    228,963x = 336,819 × 336,819
  4. Step 4: Simplify right side
    228,963x = 113,447,038,761
  5. Step 5: Solve for x
    x = 113,447,038,761/228,963
  6. Step 6: Final answer
    x = 495,481.97

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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.