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Finding the Third Proportional to 246,472 and 504,623

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Solution

The third proportional to 246,472 and 504,623 is: 1,033,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,472 : 504,623 = 504,623 : x
  2. Step 2: Convert to fraction form
    246,472/504,623 = 504,623/x
  3. Step 3: Cross multiply
    246,472x = 504,623 × 504,623
  4. Step 4: Simplify right side
    246,472x = 254,644,372,129
  5. Step 5: Solve for x
    x = 254,644,372,129/246,472
  6. Step 6: Final answer
    x = 1,033,157.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.