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Finding the Third Proportional to 199,512 and 436,464

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Solution

The third proportional to 199,512 and 436,464 is: 954,833.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,512 : 436,464 = 436,464 : x
  2. Step 2: Convert to fraction form
    199,512/436,464 = 436,464/x
  3. Step 3: Cross multiply
    199,512x = 436,464 × 436,464
  4. Step 4: Simplify right side
    199,512x = 190,500,823,296
  5. Step 5: Solve for x
    x = 190,500,823,296/199,512
  6. Step 6: Final answer
    x = 954,833.91

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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.