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Finding the Third Proportional to 339,548 and 516,699

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Solution

The third proportional to 339,548 and 516,699 is: 786,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,548 : 516,699 = 516,699 : x
  2. Step 2: Convert to fraction form
    339,548/516,699 = 516,699/x
  3. Step 3: Cross multiply
    339,548x = 516,699 × 516,699
  4. Step 4: Simplify right side
    339,548x = 266,977,856,601
  5. Step 5: Solve for x
    x = 266,977,856,601/339,548
  6. Step 6: Final answer
    x = 786,274.27

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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.