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Finding the Third Proportional to 199,640 and 436,792

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Solution

The third proportional to 199,640 and 436,792 is: 955,656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,640 : 436,792 = 436,792 : x
  2. Step 2: Convert to fraction form
    199,640/436,792 = 436,792/x
  3. Step 3: Cross multiply
    199,640x = 436,792 × 436,792
  4. Step 4: Simplify right side
    199,640x = 190,787,251,264
  5. Step 5: Solve for x
    x = 190,787,251,264/199,640
  6. Step 6: Final answer
    x = 955,656.44

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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.