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Finding the Third Proportional to 385,182 and 511,218

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Solution

The third proportional to 385,182 and 511,218 is: 678,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,182 : 511,218 = 511,218 : x
  2. Step 2: Convert to fraction form
    385,182/511,218 = 511,218/x
  3. Step 3: Cross multiply
    385,182x = 511,218 × 511,218
  4. Step 4: Simplify right side
    385,182x = 261,343,843,524
  5. Step 5: Solve for x
    x = 261,343,843,524/385,182
  6. Step 6: Final answer
    x = 678,494.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.