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Finding the Third Proportional to 199,872 and 429,390

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Solution

The third proportional to 199,872 and 429,390 is: 922,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,872 : 429,390 = 429,390 : x
  2. Step 2: Convert to fraction form
    199,872/429,390 = 429,390/x
  3. Step 3: Cross multiply
    199,872x = 429,390 × 429,390
  4. Step 4: Simplify right side
    199,872x = 184,375,772,100
  5. Step 5: Solve for x
    x = 184,375,772,100/199,872
  6. Step 6: Final answer
    x = 922,469.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.