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Finding the Third Proportional to 236,404 and 512,185

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Solution

The third proportional to 236,404 and 512,185 is: 1,109,682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,404 : 512,185 = 512,185 : x
  2. Step 2: Convert to fraction form
    236,404/512,185 = 512,185/x
  3. Step 3: Cross multiply
    236,404x = 512,185 × 512,185
  4. Step 4: Simplify right side
    236,404x = 262,333,474,225
  5. Step 5: Solve for x
    x = 262,333,474,225/236,404
  6. Step 6: Final answer
    x = 1,109,682.89

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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.