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Finding the Third Proportional to 236,415.38 and 513,018.56

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Solution

The third proportional to 236,415.38 and 513,018.56 is: 1,113,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,415.38 : 513,018.56 = 513,018.56 : x
  2. Step 2: Convert to fraction form
    236,415.38/513,018.56 = 513,018.56/x
  3. Step 3: Cross multiply
    236,415.38x = 513,018.56 × 513,018.56
  4. Step 4: Simplify right side
    236,415.38x = 263,188,045,469.57
  5. Step 5: Solve for x
    x = 263,188,045,469.57/236,415.38
  6. Step 6: Final answer
    x = 1,113,244.20

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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.