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Finding the Third Proportional to 395,522.44 and 862,917.66

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Solution

The third proportional to 395,522.44 and 862,917.66 is: 1,882,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,522.44 : 862,917.66 = 862,917.66 : x
  2. Step 2: Convert to fraction form
    395,522.44/862,917.66 = 862,917.66/x
  3. Step 3: Cross multiply
    395,522.44x = 862,917.66 × 862,917.66
  4. Step 4: Simplify right side
    395,522.44x = 744,626,881,467.99
  5. Step 5: Solve for x
    x = 744,626,881,467.99/395,522.44
  6. Step 6: Final answer
    x = 1,882,641.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.