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Finding the Third Proportional to 232,667 and 512,471

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Solution

The third proportional to 232,667 and 512,471 is: 1,128,765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,667 : 512,471 = 512,471 : x
  2. Step 2: Convert to fraction form
    232,667/512,471 = 512,471/x
  3. Step 3: Cross multiply
    232,667x = 512,471 × 512,471
  4. Step 4: Simplify right side
    232,667x = 262,626,525,841
  5. Step 5: Solve for x
    x = 262,626,525,841/232,667
  6. Step 6: Final answer
    x = 1,128,765.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.