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Finding the Third Proportional to 238,471 and 504,546

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Solution

The third proportional to 238,471 and 504,546 is: 1,067,495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,471 : 504,546 = 504,546 : x
  2. Step 2: Convert to fraction form
    238,471/504,546 = 504,546/x
  3. Step 3: Cross multiply
    238,471x = 504,546 × 504,546
  4. Step 4: Simplify right side
    238,471x = 254,566,666,116
  5. Step 5: Solve for x
    x = 254,566,666,116/238,471
  6. Step 6: Final answer
    x = 1,067,495.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.