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Finding the Third Proportional to 237,181 and 513,727

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Solution

The third proportional to 237,181 and 513,727 is: 1,112,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,181 : 513,727 = 513,727 : x
  2. Step 2: Convert to fraction form
    237,181/513,727 = 513,727/x
  3. Step 3: Cross multiply
    237,181x = 513,727 × 513,727
  4. Step 4: Simplify right side
    237,181x = 263,915,430,529
  5. Step 5: Solve for x
    x = 263,915,430,529/237,181
  6. Step 6: Final answer
    x = 1,112,717.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.