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Finding the Third Proportional to 279,495 and 395,103

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Solution

The third proportional to 279,495 and 395,103 is: 558,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,495 : 395,103 = 395,103 : x
  2. Step 2: Convert to fraction form
    279,495/395,103 = 395,103/x
  3. Step 3: Cross multiply
    279,495x = 395,103 × 395,103
  4. Step 4: Simplify right side
    279,495x = 156,106,380,609
  5. Step 5: Solve for x
    x = 156,106,380,609/279,495
  6. Step 6: Final answer
    x = 558,530.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.