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Finding the Third Proportional to 307,686 and 664,579.50

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Solution

The third proportional to 307,686 and 664,579.50 is: 1,435,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,686 : 664,579.50 = 664,579.50 : x
  2. Step 2: Convert to fraction form
    307,686/664,579.50 = 664,579.50/x
  3. Step 3: Cross multiply
    307,686x = 664,579.50 × 664,579.50
  4. Step 4: Simplify right side
    307,686x = 441,665,911,820.25
  5. Step 5: Solve for x
    x = 441,665,911,820.25/307,686
  6. Step 6: Final answer
    x = 1,435,443.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.