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Finding the Third Proportional to 233,670 and 511,812

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Solution

The third proportional to 233,670 and 511,812 is: 1,121,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,670 : 511,812 = 511,812 : x
  2. Step 2: Convert to fraction form
    233,670/511,812 = 511,812/x
  3. Step 3: Cross multiply
    233,670x = 511,812 × 511,812
  4. Step 4: Simplify right side
    233,670x = 261,951,523,344
  5. Step 5: Solve for x
    x = 261,951,523,344/233,670
  6. Step 6: Final answer
    x = 1,121,031.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.