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Finding the Third Proportional to 339,546 and 516,701

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Solution

The third proportional to 339,546 and 516,701 is: 786,284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,546 : 516,701 = 516,701 : x
  2. Step 2: Convert to fraction form
    339,546/516,701 = 516,701/x
  3. Step 3: Cross multiply
    339,546x = 516,701 × 516,701
  4. Step 4: Simplify right side
    339,546x = 266,979,923,401
  5. Step 5: Solve for x
    x = 266,979,923,401/339,546
  6. Step 6: Final answer
    x = 786,284.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.