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Finding the Third Proportional to 236,472 and 513,132

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Solution

The third proportional to 236,472 and 513,132 is: 1,113,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,472 : 513,132 = 513,132 : x
  2. Step 2: Convert to fraction form
    236,472/513,132 = 513,132/x
  3. Step 3: Cross multiply
    236,472x = 513,132 × 513,132
  4. Step 4: Simplify right side
    236,472x = 263,304,449,424
  5. Step 5: Solve for x
    x = 263,304,449,424/236,472
  6. Step 6: Final answer
    x = 1,113,469.88

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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.