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Finding the Third Proportional to 267,923 and 572,694.50

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Solution

The third proportional to 267,923 and 572,694.50 is: 1,224,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,923 : 572,694.50 = 572,694.50 : x
  2. Step 2: Convert to fraction form
    267,923/572,694.50 = 572,694.50/x
  3. Step 3: Cross multiply
    267,923x = 572,694.50 × 572,694.50
  4. Step 4: Simplify right side
    267,923x = 327,978,990,330.25
  5. Step 5: Solve for x
    x = 327,978,990,330.25/267,923
  6. Step 6: Final answer
    x = 1,224,153.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.