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Finding the Third Proportional to 185,706 and 404,946

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Solution

The third proportional to 185,706 and 404,946 is: 883,015.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,706 : 404,946 = 404,946 : x
  2. Step 2: Convert to fraction form
    185,706/404,946 = 404,946/x
  3. Step 3: Cross multiply
    185,706x = 404,946 × 404,946
  4. Step 4: Simplify right side
    185,706x = 163,981,262,916
  5. Step 5: Solve for x
    x = 163,981,262,916/185,706
  6. Step 6: Final answer
    x = 883,015.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.