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Finding the Third Proportional to 199,777 and 436,369

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Solution

The third proportional to 199,777 and 436,369 is: 953,152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,777 : 436,369 = 436,369 : x
  2. Step 2: Convert to fraction form
    199,777/436,369 = 436,369/x
  3. Step 3: Cross multiply
    199,777x = 436,369 × 436,369
  4. Step 4: Simplify right side
    199,777x = 190,417,904,161
  5. Step 5: Solve for x
    x = 190,417,904,161/199,777
  6. Step 6: Final answer
    x = 953,152.29

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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.