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Finding the Third Proportional to 228,942 and 491,742

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Solution

The third proportional to 228,942 and 491,742 is: 1,056,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,942 : 491,742 = 491,742 : x
  2. Step 2: Convert to fraction form
    228,942/491,742 = 491,742/x
  3. Step 3: Cross multiply
    228,942x = 491,742 × 491,742
  4. Step 4: Simplify right side
    228,942x = 241,810,194,564
  5. Step 5: Solve for x
    x = 241,810,194,564/228,942
  6. Step 6: Final answer
    x = 1,056,207.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.