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Finding the Third Proportional to 232,811 and 511,344

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Solution

The third proportional to 232,811 and 511,344 is: 1,123,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,811 : 511,344 = 511,344 : x
  2. Step 2: Convert to fraction form
    232,811/511,344 = 511,344/x
  3. Step 3: Cross multiply
    232,811x = 511,344 × 511,344
  4. Step 4: Simplify right side
    232,811x = 261,472,686,336
  5. Step 5: Solve for x
    x = 261,472,686,336/232,811
  6. Step 6: Final answer
    x = 1,123,111.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.