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Finding the Third Proportional to 334,086 and 511,713

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Solution

The third proportional to 334,086 and 511,713 is: 783,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,086 : 511,713 = 511,713 : x
  2. Step 2: Convert to fraction form
    334,086/511,713 = 511,713/x
  3. Step 3: Cross multiply
    334,086x = 511,713 × 511,713
  4. Step 4: Simplify right side
    334,086x = 261,850,194,369
  5. Step 5: Solve for x
    x = 261,850,194,369/334,086
  6. Step 6: Final answer
    x = 783,780.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.