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Finding the Third Proportional to 185,001 and 406,370

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Solution

The third proportional to 185,001 and 406,370 is: 892,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,001 : 406,370 = 406,370 : x
  2. Step 2: Convert to fraction form
    185,001/406,370 = 406,370/x
  3. Step 3: Cross multiply
    185,001x = 406,370 × 406,370
  4. Step 4: Simplify right side
    185,001x = 165,136,576,900
  5. Step 5: Solve for x
    x = 165,136,576,900/185,001
  6. Step 6: Final answer
    x = 892,625.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.