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Finding the Third Proportional to 228,464 and 491,936

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Solution

The third proportional to 228,464 and 491,936 is: 1,059,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,464 : 491,936 = 491,936 : x
  2. Step 2: Convert to fraction form
    228,464/491,936 = 491,936/x
  3. Step 3: Cross multiply
    228,464x = 491,936 × 491,936
  4. Step 4: Simplify right side
    228,464x = 242,001,028,096
  5. Step 5: Solve for x
    x = 242,001,028,096/228,464
  6. Step 6: Final answer
    x = 1,059,252.35

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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.