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Finding the Third Proportional to 307,772 and 491,672

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Solution

The third proportional to 307,772 and 491,672 is: 785,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,772 : 491,672 = 491,672 : x
  2. Step 2: Convert to fraction form
    307,772/491,672 = 491,672/x
  3. Step 3: Cross multiply
    307,772x = 491,672 × 491,672
  4. Step 4: Simplify right side
    307,772x = 241,741,355,584
  5. Step 5: Solve for x
    x = 241,741,355,584/307,772
  6. Step 6: Final answer
    x = 785,455.97

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.