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Finding the Third Proportional to 185,336 and 406,757

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Solution

The third proportional to 185,336 and 406,757 is: 892,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,336 : 406,757 = 406,757 : x
  2. Step 2: Convert to fraction form
    185,336/406,757 = 406,757/x
  3. Step 3: Cross multiply
    185,336x = 406,757 × 406,757
  4. Step 4: Simplify right side
    185,336x = 165,451,257,049
  5. Step 5: Solve for x
    x = 165,451,257,049/185,336
  6. Step 6: Final answer
    x = 892,709.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.