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Finding the Third Proportional to 360,924 and 504,578.75

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Solution

The third proportional to 360,924 and 504,578.75 is: 705,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,924 : 504,578.75 = 504,578.75 : x
  2. Step 2: Convert to fraction form
    360,924/504,578.75 = 504,578.75/x
  3. Step 3: Cross multiply
    360,924x = 504,578.75 × 504,578.75
  4. Step 4: Simplify right side
    360,924x = 254,599,714,951.56
  5. Step 5: Solve for x
    x = 254,599,714,951.56/360,924
  6. Step 6: Final answer
    x = 705,410.88

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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.