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Finding the Third Proportional to 185,578 and 406,622

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Solution

The third proportional to 185,578 and 406,622 is: 890,953.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,578 : 406,622 = 406,622 : x
  2. Step 2: Convert to fraction form
    185,578/406,622 = 406,622/x
  3. Step 3: Cross multiply
    185,578x = 406,622 × 406,622
  4. Step 4: Simplify right side
    185,578x = 165,341,450,884
  5. Step 5: Solve for x
    x = 165,341,450,884/185,578
  6. Step 6: Final answer
    x = 890,953.94

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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.