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Finding the Third Proportional to 361,074 and 504,780

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Solution

The third proportional to 361,074 and 504,780 is: 705,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,074 : 504,780 = 504,780 : x
  2. Step 2: Convert to fraction form
    361,074/504,780 = 504,780/x
  3. Step 3: Cross multiply
    361,074x = 504,780 × 504,780
  4. Step 4: Simplify right side
    361,074x = 254,802,848,400
  5. Step 5: Solve for x
    x = 254,802,848,400/361,074
  6. Step 6: Final answer
    x = 705,680.41

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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.