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Finding the Third Proportional to 236,632 and 513,400

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Solution

The third proportional to 236,632 and 513,400 is: 1,113,879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,632 : 513,400 = 513,400 : x
  2. Step 2: Convert to fraction form
    236,632/513,400 = 513,400/x
  3. Step 3: Cross multiply
    236,632x = 513,400 × 513,400
  4. Step 4: Simplify right side
    236,632x = 263,579,560,000
  5. Step 5: Solve for x
    x = 263,579,560,000/236,632
  6. Step 6: Final answer
    x = 1,113,879.61

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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.