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Finding the Third Proportional to 199,327 and 436,028

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Solution

The third proportional to 199,327 and 436,028 is: 953,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,327 : 436,028 = 436,028 : x
  2. Step 2: Convert to fraction form
    199,327/436,028 = 436,028/x
  3. Step 3: Cross multiply
    199,327x = 436,028 × 436,028
  4. Step 4: Simplify right side
    199,327x = 190,120,416,784
  5. Step 5: Solve for x
    x = 190,120,416,784/199,327
  6. Step 6: Final answer
    x = 953,811.66

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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.