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Finding the Third Proportional to 246,986 and 532,372

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Solution

The third proportional to 246,986 and 532,372 is: 1,147,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,986 : 532,372 = 532,372 : x
  2. Step 2: Convert to fraction form
    246,986/532,372 = 532,372/x
  3. Step 3: Cross multiply
    246,986x = 532,372 × 532,372
  4. Step 4: Simplify right side
    246,986x = 283,419,946,384
  5. Step 5: Solve for x
    x = 283,419,946,384/246,986
  6. Step 6: Final answer
    x = 1,147,514.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.