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Finding the Third Proportional to 185,377 and 406,849

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Solution

The third proportional to 185,377 and 406,849 is: 892,916.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,377 : 406,849 = 406,849 : x
  2. Step 2: Convert to fraction form
    185,377/406,849 = 406,849/x
  3. Step 3: Cross multiply
    185,377x = 406,849 × 406,849
  4. Step 4: Simplify right side
    185,377x = 165,526,108,801
  5. Step 5: Solve for x
    x = 165,526,108,801/185,377
  6. Step 6: Final answer
    x = 892,916.11

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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.