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Finding the Third Proportional to 267,364.50 and 389,007

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Solution

The third proportional to 267,364.50 and 389,007 is: 565,993.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,364.50 : 389,007 = 389,007 : x
  2. Step 2: Convert to fraction form
    267,364.50/389,007 = 389,007/x
  3. Step 3: Cross multiply
    267,364.50x = 389,007 × 389,007
  4. Step 4: Simplify right side
    267,364.50x = 151,326,446,049
  5. Step 5: Solve for x
    x = 151,326,446,049/267,364.50
  6. Step 6: Final answer
    x = 565,993.04

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.