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Finding the Third Proportional to 236,437 and 512,195

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Solution

The third proportional to 236,437 and 512,195 is: 1,109,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,437 : 512,195 = 512,195 : x
  2. Step 2: Convert to fraction form
    236,437/512,195 = 512,195/x
  3. Step 3: Cross multiply
    236,437x = 512,195 × 512,195
  4. Step 4: Simplify right side
    236,437x = 262,343,718,025
  5. Step 5: Solve for x
    x = 262,343,718,025/236,437
  6. Step 6: Final answer
    x = 1,109,571.34

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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.