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Finding the Third Proportional to 185,943 and 406,446

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Solution

The third proportional to 185,943 and 406,446 is: 888,435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,943 : 406,446 = 406,446 : x
  2. Step 2: Convert to fraction form
    185,943/406,446 = 406,446/x
  3. Step 3: Cross multiply
    185,943x = 406,446 × 406,446
  4. Step 4: Simplify right side
    185,943x = 165,198,350,916
  5. Step 5: Solve for x
    x = 165,198,350,916/185,943
  6. Step 6: Final answer
    x = 888,435.44

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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.