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Finding the Third Proportional to 232,830 and 511,384

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Solution

The third proportional to 232,830 and 511,384 is: 1,123,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,830 : 511,384 = 511,384 : x
  2. Step 2: Convert to fraction form
    232,830/511,384 = 511,384/x
  3. Step 3: Cross multiply
    232,830x = 511,384 × 511,384
  4. Step 4: Simplify right side
    232,830x = 261,513,595,456
  5. Step 5: Solve for x
    x = 261,513,595,456/232,830
  6. Step 6: Final answer
    x = 1,123,195.44

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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.