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Finding the Third Proportional to 385,270 and 511,212

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Solution

The third proportional to 385,270 and 511,212 is: 678,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,270 : 511,212 = 511,212 : x
  2. Step 2: Convert to fraction form
    385,270/511,212 = 511,212/x
  3. Step 3: Cross multiply
    385,270x = 511,212 × 511,212
  4. Step 4: Simplify right side
    385,270x = 261,337,708,944
  5. Step 5: Solve for x
    x = 261,337,708,944/385,270
  6. Step 6: Final answer
    x = 678,323.54

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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.