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Finding the Third Proportional to 236,914 and 511,762

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Solution

The third proportional to 236,914 and 511,762 is: 1,105,465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,914 : 511,762 = 511,762 : x
  2. Step 2: Convert to fraction form
    236,914/511,762 = 511,762/x
  3. Step 3: Cross multiply
    236,914x = 511,762 × 511,762
  4. Step 4: Simplify right side
    236,914x = 261,900,344,644
  5. Step 5: Solve for x
    x = 261,900,344,644/236,914
  6. Step 6: Final answer
    x = 1,105,465.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.