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Finding the Third Proportional to 229,016 and 491,944

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Solution

The third proportional to 229,016 and 491,944 is: 1,056,733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,016 : 491,944 = 491,944 : x
  2. Step 2: Convert to fraction form
    229,016/491,944 = 491,944/x
  3. Step 3: Cross multiply
    229,016x = 491,944 × 491,944
  4. Step 4: Simplify right side
    229,016x = 242,008,899,136
  5. Step 5: Solve for x
    x = 242,008,899,136/229,016
  6. Step 6: Final answer
    x = 1,056,733.59

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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.