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Finding the Third Proportional to 185,580 and 406,626

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Solution

The third proportional to 185,580 and 406,626 is: 890,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,580 : 406,626 = 406,626 : x
  2. Step 2: Convert to fraction form
    185,580/406,626 = 406,626/x
  3. Step 3: Cross multiply
    185,580x = 406,626 × 406,626
  4. Step 4: Simplify right side
    185,580x = 165,344,703,876
  5. Step 5: Solve for x
    x = 165,344,703,876/185,580
  6. Step 6: Final answer
    x = 890,961.87

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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.