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Finding the Third Proportional to 199,636 and 436,284

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Solution

The third proportional to 199,636 and 436,284 is: 953,453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,636 : 436,284 = 436,284 : x
  2. Step 2: Convert to fraction form
    199,636/436,284 = 436,284/x
  3. Step 3: Cross multiply
    199,636x = 436,284 × 436,284
  4. Step 4: Simplify right side
    199,636x = 190,343,728,656
  5. Step 5: Solve for x
    x = 190,343,728,656/199,636
  6. Step 6: Final answer
    x = 953,453.93

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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.