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Finding the Third Proportional to 361,067 and 504,770

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Solution

The third proportional to 361,067 and 504,770 is: 705,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,067 : 504,770 = 504,770 : x
  2. Step 2: Convert to fraction form
    361,067/504,770 = 504,770/x
  3. Step 3: Cross multiply
    361,067x = 504,770 × 504,770
  4. Step 4: Simplify right side
    361,067x = 254,792,752,900
  5. Step 5: Solve for x
    x = 254,792,752,900/361,067
  6. Step 6: Final answer
    x = 705,666.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.