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Finding the Third Proportional to 339,369 and 670,171.50

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Solution

The third proportional to 339,369 and 670,171.50 is: 1,323,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,369 : 670,171.50 = 670,171.50 : x
  2. Step 2: Convert to fraction form
    339,369/670,171.50 = 670,171.50/x
  3. Step 3: Cross multiply
    339,369x = 670,171.50 × 670,171.50
  4. Step 4: Simplify right side
    339,369x = 449,129,839,412.25
  5. Step 5: Solve for x
    x = 449,129,839,412.25/339,369
  6. Step 6: Final answer
    x = 1,323,426.24

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.