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Finding the Third Proportional to 370,016 and 491,916

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Solution

The third proportional to 370,016 and 491,916 is: 653,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,016 : 491,916 = 491,916 : x
  2. Step 2: Convert to fraction form
    370,016/491,916 = 491,916/x
  3. Step 3: Cross multiply
    370,016x = 491,916 × 491,916
  4. Step 4: Simplify right side
    370,016x = 241,981,351,056
  5. Step 5: Solve for x
    x = 241,981,351,056/370,016
  6. Step 6: Final answer
    x = 653,975.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.