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Finding the Third Proportional to 252,864 and 379,968

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Solution

The third proportional to 252,864 and 379,968 is: 570,961.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,864 : 379,968 = 379,968 : x
  2. Step 2: Convert to fraction form
    252,864/379,968 = 379,968/x
  3. Step 3: Cross multiply
    252,864x = 379,968 × 379,968
  4. Step 4: Simplify right side
    252,864x = 144,375,681,024
  5. Step 5: Solve for x
    x = 144,375,681,024/252,864
  6. Step 6: Final answer
    x = 570,961.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.